What are the solutions to the equation x^2=-8/9 x ?

The solutions to the equation x^2=-8/9 x are x=0,x=-8/9

Find the zeros of x^2=-8/9 x

The zeros of x^2=-8/9 x are x=0,x=-8/9

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x^{2} = - \frac{8}{9} x

x = 0, x = - \frac{8}{9}

Solution steps

x^{2} = - \frac{8}{9} x

Multiply both sides by

9

9 x^{2} = - 8 x

Move

8 x

to the left side

9 x^{2} + 8 x = 0

Solve with the quadratic formula

x_{1, 2} = \frac{- 8 \pm 8 ^{2} - 4 \cdot 9 \cdot 0}{2 \cdot 9}

8^{2} - 4 \cdot 9 \cdot 0 = 8

x_{1, 2} = \frac{- 8 \pm 8}{2 \cdot 9}

Separate the solutions

x_{1} = \frac{- 8 + 8}{2 \cdot 9}, x_{2} = \frac{- 8 - 8}{2 \cdot 9}

x = \frac{- 8 + 8}{2 \cdot 9} : 0

x = \frac{- 8 - 8}{2 \cdot 9} : - \frac{8}{9}

The solutions to the quadratic equation are:

x = 0, x = - \frac{8}{9}

\frac{2}{3} (x - 30) = 36

\frac{4}{6} x - \frac{2}{3} < 2

r^{2} + 6 r + 11 = 0

x + 1 x - 2 \leq 0

3 x + 7 - 9 x = 21 - 6 x

What are the solutions to the equation x^2=-8/9 x ?
The solutions to the equation x^2=-8/9 x are x=0,x=-8/9
Find the zeros of x^2=-8/9 x
The zeros of x^2=-8/9 x are x=0,x=-8/9