What are the solutions to the equation 9-3x^2+5x-8+7x^2=5x^2-9+4x+4x ?

The solutions to the equation 9-3x^2+5x-8+7x^2=5x^2-9+4x+4x are x=-5,x=2

Find the zeros of 9-3x^2+5x-8+7x^2=5x^2-9+4x+4x

The zeros of 9-3x^2+5x-8+7x^2=5x^2-9+4x+4x are x=-5,x=2

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9 - 3 x^{2} + 5 x - 8 + 7 x^{2} = 5 x^{2} - 9 + 4 x + 4 x

x = - 5, x = 2

Solution steps

9 - 3 x^{2} + 5 x - 8 + 7 x^{2} = 5 x^{2} - 9 + 4 x + 4 x

Refine

4 x^{2} + 5 x + 1 = 5 x^{2} - 9 + 8 x

Move

8 x

to the left side

4 x^{2} - 3 x + 1 = 5 x^{2} - 9

Move

9

to the left side

4 x^{2} - 3 x + 10 = 5 x^{2}

Move

5 x^{2}

to the left side

- x^{2} - 3 x + 10 = 0

Solve with the quadratic formula

x_{1, 2} = \frac{- ( - 3 ) \pm ( - 3 ) ^{2} - 4 ( - 1 ) \cdot 10}{2 ( - 1 )}

(- 3)^{2} - 4 (- 1) \cdot 10 = 7

x_{1, 2} = \frac{- ( - 3 ) \pm 7}{2 ( - 1 )}

Separate the solutions

x_{1} = \frac{- ( - 3 ) + 7}{2 ( - 1 )}, x_{2} = \frac{- ( - 3 ) - 7}{2 ( - 1 )}

x = \frac{- ( - 3 ) + 7}{2 ( - 1 )} : - 5

x = \frac{- ( - 3 ) - 7}{2 ( - 1 )} : 2

The solutions to the quadratic equation are:

x = - 5, x = 2

405 - 168 x + 12 x^{2} = 0

0 = x^{2} - 6 x - 16

x^{2} - 6 x + 18

x^{2} - 6 x + 25

x^{2} + 6 x + c

What are the solutions to the equation 9-3x^2+5x-8+7x^2=5x^2-9+4x+4x ?
The solutions to the equation 9-3x^2+5x-8+7x^2=5x^2-9+4x+4x are x=-5,x=2
Find the zeros of 9-3x^2+5x-8+7x^2=5x^2-9+4x+4x
The zeros of 9-3x^2+5x-8+7x^2=5x^2-9+4x+4x are x=-5,x=2