What are the solutions to the equation 3/4 x^2-2/5 x= 4/5 x^2+3/4 ?

The solutions to the equation 3/4 x^2-2/5 x= 4/5 x^2+3/4 are x=-5,x=-3

Find the zeros of 3/4 x^2-2/5 x= 4/5 x^2+3/4

The zeros of 3/4 x^2-2/5 x= 4/5 x^2+3/4 are x=-5,x=-3

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\frac{3}{4} x^{2} - \frac{2}{5} x = \frac{4}{5} x^{2} + \frac{3}{4}

x = - 5, x = - 3

Solution steps

\frac{3}{4} x^{2} - \frac{2}{5} x = \frac{4}{5} x^{2} + \frac{3}{4}

Find Least Common Multiplier of

4, 5 : 20

Multiply by LCM=

20

\frac{3}{4} x^{2} \cdot 20 - \frac{2}{5} x \cdot 20 = \frac{4}{5} x^{2} \cdot 20 + \frac{3}{4} \cdot 20

Simplify

15 x^{2} - 8 x = 16 x^{2} + 15

Move

15

to the left side

15 x^{2} - 8 x - 15 = 16 x^{2}

Move

16 x^{2}

to the left side

- x^{2} - 8 x - 15 = 0

Solve with the quadratic formula

x_{1, 2} = \frac{- ( - 8 ) \pm ( - 8 ) ^{2} - 4 ( - 1 ) ( - 15 )}{2 ( - 1 )}

(- 8)^{2} - 4 (- 1) (- 15) = 2

x_{1, 2} = \frac{- ( - 8 ) \pm 2}{2 ( - 1 )}

Separate the solutions

x_{1} = \frac{- ( - 8 ) + 2}{2 ( - 1 )}, x_{2} = \frac{- ( - 8 ) - 2}{2 ( - 1 )}

x = \frac{- ( - 8 ) + 2}{2 ( - 1 )} : - 5

x = \frac{- ( - 8 ) - 2}{2 ( - 1 )} : - 3

The solutions to the quadratic equation are:

x = - 5, x = - 3

8 x + 18 = 50

2 {3 z - (4 z + 3)} = 3 z + 4

x^{2} - 3 x < 40

y^{2} - 2 y - 4 = 0

12 x = - 2 x^{2} + 61 x + 330

What are the solutions to the equation 3/4 x^2-2/5 x= 4/5 x^2+3/4 ?
The solutions to the equation 3/4 x^2-2/5 x= 4/5 x^2+3/4 are x=-5,x=-3
Find the zeros of 3/4 x^2-2/5 x= 4/5 x^2+3/4
The zeros of 3/4 x^2-2/5 x= 4/5 x^2+3/4 are x=-5,x=-3