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3x^2+27x+54=-(3x^2)/2-(27x)/2-27	3x^{2}+27x+54=-\frac{3x^{2}}{2}-\frac{27x}{2}-27
solvefor t,48=8(t)+16(t)^2	solvefor\:t,48=8(t)+16(t)^{2}
x^2+8/2 x+15/4 =0	x^{2}+\frac{8}{2}x+\frac{15}{4}=0
p^2+9p=0	p^{2}+9p=0
quadraticformula 3x^2+2x-8=0	quadraticformula\:3x^{2}+2x-8=0
4n^2-3n-17=5	4n^{2}-3n-17=5
2x-1=x^2-4	2x-1=x^{2}-4
solvefor x,5x^2-45=0	solvefor\:x,5x^{2}-45=0
0.45(3.15-x)(2.14-x)=x	0.45(3.15-x)(2.14-x)=x
y(n)=sqrt(2)*y^2(n+1)-n	y(n)=\sqrt{2}\cdot\:y^{2}(n+1)-n
2x=(4x-15)^2	2x=(4x-15)^{2}
x^2+(x+5)2+83=1200	x^{2}+(x+5)2+83=1200
x^2+29.4x-750=0	x^{2}+29.4x-750=0
4x^2+24=28	4x^{2}+24=28
10x^2+3x-4=0	10x^{2}+3x-4=0
(x+5)^2+10=2	(x+5)^{2}+10=2
solvefor x,y=-10.12x^2+12.3945x-0.266	solvefor\:x,y=-10.12x^{2}+12.3945x-0.266
(v+10)^2=121	(v+10)^{2}=121
completesquare x^2+4x+c	completesquare\:x^{2}+4x+c
b(x)=(-84x^2+1080x)-(13.4x^2+360+2010)	b(x)=(-84x^{2}+1080x)-(13.4x^{2}+360+2010)
70k^2+118k+28=0	70k^{2}+118k+28=0
y^2-5y=6	y^{2}-5y=6
y^2-5y=7	y^{2}-5y=7
solvefor x,(1-t^2)x^2-2t^2x-(t^2+1)=0	solvefor\:x,(1-t^{2})x^{2}-2t^{2}x-(t^{2}+1)=0
x^2+100x+250=0	x^{2}+100x+250=0
completesquare x^2-3x-2=0	completesquare\:x^{2}-3x-2=0
-2x=-x^2	-2x=-x^{2}
(4x-1)(x+2)=4x	(4x-1)(x+2)=4x
3x^2+6(x-5)=8(2x-7)	3x^{2}+6(x-5)=8(2x-7)
x^2-7x+40=0	x^{2}-7x+40=0
6000(1+x)^2=6242.4	6000(1+x)^{2}=6242.4
x^2-16-x=8x+6	x^{2}-16-x=8x+6
-5n(10n-8)=0	-5n(10n-8)=0
-3x^2+14x-16=0	-3x^{2}+14x-16=0
solvefor b,12-(3b^2)/2 =0	solvefor\:b,12-\frac{3b^{2}}{2}=0
-4x^2-3x+3=0	-4x^{2}-3x+3=0
a^2+6a-4=0	a^{2}+6a-4=0
x^2+13x-14=0	x^{2}+13x-14=0
solvefor y,x^2+5y^2=-8	solvefor\:y,x^{2}+5y^{2}=-8
40t-5t^2=75	40t-5t^{2}=75
c(x)= 1/4 x^2+4x+100	c(x)=\frac{1}{4}x^{2}+4x+100
4x^2+20x-11=0	4x^{2}+20x-11=0
solvefor y,y^2=x^3-3x+1	solvefor\:y,y^{2}=x^{3}-3x+1
-6x^2+96x=0	-6x^{2}+96x=0
-6n^2+15n=0	-6n^{2}+15n=0
completesquare s^2+2s+1	completesquare\:s^{2}+2s+1
8x^2-4x+19=0	8x^{2}-4x+19=0
10x^2-7x-3=0	10x^{2}-7x-3=0
2x^2-48x+288=0	2x^{2}-48x+288=0
c^2+3c+5=0	c^{2}+3c+5=0
x^2-6=-7x	x^{2}-6=-7x
(3x-2)^2+8(3x-2)+12=0	(3x-2)^{2}+8(3x-2)+12=0
r^2+r+0=0	r^{2}+r+0=0
x^2+6x-247=0	x^{2}+6x-247=0
5u^2-15u=0	5u^{2}-15u=0
x^2-(1+a)x+a=a	x^{2}-(1+a)x+a=a
-4.9t^2+10t+400=0	-4.9t^{2}+10t+400=0
12x^2-3=5x	12x^{2}-3=5x
-4x^2+2x-1=0	-4x^{2}+2x-1=0
completesquare 225z^2+450z	completesquare\:225z^{2}+450z
(x+6)^2=-100	(x+6)^{2}=-100
solvefor x,w=((x^2-y^2))/((y^2+z^2))	solvefor\:x,w=\frac{(x^{2}-y^{2})}{(y^{2}+z^{2})}
solvefor x,x^2y=(y+1)^2	solvefor\:x,x^{2}y=(y+1)^{2}
-x^2+2x-3=0,-x^2+2x-3=0	-x^{2}+2x-3=0,-x^{2}+2x-3=0
-5x^2-4=0	-5x^{2}-4=0
-9x+x^2+20=0	-9x+x^{2}+20=0
0=-x^2-6x-9	0=-x^{2}-6x-9
N(a)=-2a^2+150a+3,0<= a<= 400	N(a)=-2a^{2}+150a+3,0\le\:a\le\:400
(2X-1)^2=8	(2X-1)^{2}=8
2x^2+12x=-5	2x^{2}+12x=-5
ax^2+2a=x+2a^2x	ax^{2}+2a=x+2a^{2}x
x=-2x^2-(b-8)x+b/3	x=-2x^{2}-(b-8)x+\frac{b}{3}
quadraticformula x^2-49=0	quadraticformula\:x^{2}-49=0
(x^2)/(25)=16	\frac{x^{2}}{25}=16
s^2=-14-3s	s^{2}=-14-3s
solvefor x,x^2y=4x^2+7xy+2y^2	solvefor\:x,x^{2}y=4x^{2}+7xy+2y^{2}
1/2 x^2+1=2x-1	\frac{1}{2}x^{2}+1=2x-1
5x^2=51+2	5x^{2}=51+2
4y^2-28=8y	4y^{2}-28=8y
9^2=6^2+x^2	9^{2}=6^{2}+x^{2}
(2x-2)^2-4(2x-2)+3=0	(2x-2)^{2}-4(2x-2)+3=0
s^2+12s+40=0	s^{2}+12s+40=0
5p^2+19p+12=0	5p^{2}+19p+12=0
(2x+3)(3x-4)=-5	(2x+3)(3x-4)=-5
6y^2=19y-15	6y^{2}=19y-15
solvefor x,x^2y-4x=5	solvefor\:x,x^{2}y-4x=5
a(a+24)=0	a(a+24)=0
completesquare 4x^2+20x+25	completesquare\:4x^{2}+20x+25
-5x^2-30x+95=0	-5x^{2}-30x+95=0
8x(x+1)+(5x-1)(3x+5)=3(x+1)(3x+5)	8x(x+1)+(5x-1)(3x+5)=3(x+1)(3x+5)
solvefor x,x^2y+y=5	solvefor\:x,x^{2}y+y=5
12-x^2=0	12-x^{2}=0
3x^2-5x=28	3x^{2}-5x=28
2x^2+32x+144=0	2x^{2}+32x+144=0
-2/3 x^2-4x-3=-1/6 x^2-x-3	-\frac{2}{3}x^{2}-4x-3=-\frac{1}{6}x^{2}-x-3
132x-12x^2=0	132x-12x^{2}=0
solvefor x,x^2+y^2-4x+2y+36=0	solvefor\:x,x^{2}+y^{2}-4x+2y+36=0
solvefor b,b^2+d^2=14bd	solvefor\:b,b^{2}+d^{2}=14bd
solvefor x,36x^2+100y^2-72x+200y+3464=0	solvefor\:x,36x^{2}+100y^{2}-72x+200y+3464=0
2x^2=15	2x^{2}=15

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