What are the solutions to the equation -5x^2-10x=-315 ?

The solutions to the equation -5x^2-10x=-315 are x=-9,x=7

Find the zeros of -5x^2-10x=-315

The zeros of -5x^2-10x=-315 are x=-9,x=7

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- 5 x^{2} - 10 x = - 315

x = - 9, x = 7

Solution steps

- 5 x^{2} - 10 x = - 315

Move

315

to the left side

- 5 x^{2} - 10 x + 315 = 0

Solve with the quadratic formula

x_{1, 2} = \frac{- ( - 10 ) \pm ( - 10 ) ^{2} - 4 ( - 5 ) \cdot 315}{2 ( - 5 )}

(- 10)^{2} - 4 (- 5) \cdot 315 = 80

x_{1, 2} = \frac{- ( - 10 ) \pm 80}{2 ( - 5 )}

Separate the solutions

x_{1} = \frac{- ( - 10 ) + 80}{2 ( - 5 )}, x_{2} = \frac{- ( - 10 ) - 80}{2 ( - 5 )}

x = \frac{- ( - 10 ) + 80}{2 ( - 5 )} : - 9

x = \frac{- ( - 10 ) - 80}{2 ( - 5 )} : 7

The solutions to the quadratic equation are:

x = - 9, x = 7

\frac{z ( z + 1 )}{2} = 21

a^{2} + 7 a + 6 = 0

7 x^{2} = 12 x

(7 z + 1)^{2} = - 1

z^{2} - 3 z - 7 = 0

What are the solutions to the equation -5x^2-10x=-315 ?
The solutions to the equation -5x^2-10x=-315 are x=-9,x=7
Find the zeros of -5x^2-10x=-315
The zeros of -5x^2-10x=-315 are x=-9,x=7