What are the solutions to the equation -9x^2=30x+25 ?

The solutions to the equation -9x^2=30x+25 are x=-5/3

Find the zeros of -9x^2=30x+25

The zeros of -9x^2=30x+25 are x=-5/3

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- 9 x^{2} = 30 x + 25

x = - \frac{5}{3}

Decimal Notation

x = - 1.66666 \dots

Solution steps

- 9 x^{2} = 30 x + 25

Move

25

to the left side

- 9 x^{2} - 25 = 30 x

Move

30 x

to the left side

- 9 x^{2} - 25 - 30 x = 0

Write in the standard form

a x^{2} + b x + c = 0

- 9 x^{2} - 30 x - 25 = 0

Solve with the quadratic formula

x_{1, 2} = \frac{- ( - 30 ) \pm ( - 30 ) ^{2} - 4 ( - 9 ) ( - 25 )}{2 ( - 9 )}

(- 30)^{2} - 4 (- 9) (- 25) = 0

x_{1, 2} = \frac{- ( - 30 ) \pm 0}{2 ( - 9 )}

x = \frac{- ( - 30 )}{2 ( - 9 )}

\frac{- ( - 30 )}{2 ( - 9 )} = - \frac{5}{3}

x = - \frac{5}{3}

The solution to the quadratic equation is:

x = - \frac{5}{3}

x^{2} + 4 x - 5 = 7

6 - 3 x^{2} = 3

2 (x - 7)^{2} - 31 = 1

x^{2} + 61 = 8 x

x^{2} + x - 2

What are the solutions to the equation -9x^2=30x+25 ?
The solutions to the equation -9x^2=30x+25 are x=-5/3
Find the zeros of -9x^2=30x+25
The zeros of -9x^2=30x+25 are x=-5/3