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Popular >

3x-10x-2x^2<0

Solution

3 x - 10 x - 2 x^{2} < 0

Solution

x < - \frac{7}{2} or x > 0

+2

Interval Notation

(- \infty, - \frac{7}{2}) \cup (0, \infty)

Decimal Notation

x < - 3.5 or x > 0

Solution steps

3 x - 10 x - 2 x^{2} < 0

Rewrite in standard form

- 7 x - 2 x^{2} < 0

Factor

- 7 x - 2 x^{2} : - x (2 x + 7)

- x (2 x + 7) < 0

Multiply both sides by

- 1

(reverse the inequality)

(- x (2 x + 7)) (- 1) > 0 \cdot (- 1)

Simplify

x (2 x + 7) > 0

Identify the intervals

x < - \frac{7}{2} or x > 0

Popular Examples

x^{3} - 7 x + 6 \geq 0

x^3-10x^2-7x+16>0

x^{3} - 10 x^{2} - 7 x + 16 > 0

((3x+1))/(((2x+5)(5x+3)))>0

\frac{( 3 x + 1 )}{( ( 2 x + 5 ) ( 5 x + 3 ) )} > 0

(x+4)^5(x+3)^6(x+2)^7(x-1)^8<= 0

(x + 4)^{5} (x + 3)^{6} (x + 2)^{7} (x - 1)^{8} \leq 0

((x^2+x-20))/((-x^2+9))>0

\frac{( x ^{2} + x - 20 )}{( - x ^{2} + 9 )} > 0

Frequently Asked Questions (FAQ)

What is 3x-10x-2x^2<0 ?
The solution to 3x-10x-2x^2<0 is x<-7/2 \lor x>0