What are the solutions to the equation 9x^2=-6x-1 ?

The solutions to the equation 9x^2=-6x-1 are x=-1/3

Find the zeros of 9x^2=-6x-1

The zeros of 9x^2=-6x-1 are x=-1/3

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9 x^{2} = - 6 x - 1

x = - \frac{1}{3}

Decimal Notation

x = - 0.33333 \dots

Solution steps

9 x^{2} = - 6 x - 1

Move

1

to the left side

9 x^{2} + 1 = - 6 x

Move

6 x

to the left side

9 x^{2} + 1 + 6 x = 0

Write in the standard form

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

9 x^{2} + 6 x + 1 = 0

Solve with the quadratic formula

x_{1, 2} = \frac{- 6 \pm 6 ^{2} - 4 \cdot 9 \cdot 1}{2 \cdot 9}

6^{2} - 4 \cdot 9 \cdot 1 = 0

x_{1, 2} = \frac{- 6 \pm 0}{2 \cdot 9}

x = \frac{- 6}{2 \cdot 9}

\frac{- 6}{2 \cdot 9} = - \frac{1}{3}

x = - \frac{1}{3}

The solution to the quadratic equation is:

x = - \frac{1}{3}

- 2 x^{2} + 9 x + 3 = 0

2 x^{2} + 6 x + 7

x^{2} = 7 x

x^{2} + 12 = 6 x

2 y^{2} - 90 = 0

What are the solutions to the equation 9x^2=-6x-1 ?
The solutions to the equation 9x^2=-6x-1 are x=-1/3
Find the zeros of 9x^2=-6x-1
The zeros of 9x^2=-6x-1 are x=-1/3