What are the solutions to the equation (x-6)^2=-24x ?

The solutions to the equation (x-6)^2=-24x are x=-6

Find the zeros of (x-6)^2=-24x

The zeros of (x-6)^2=-24x are x=-6

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(x - 6)^{2} = - 24 x

x = - 6

Solution steps

(x - 6)^{2} = - 24 x

Expand

(x - 6)^{2} : x^{2} - 12 x + 36

x^{2} - 12 x + 36 = - 24 x

Move

24 x

to the left side

x^{2} + 12 x + 36 = 0

Solve with the quadratic formula

x_{1, 2} = \frac{- 12 \pm 1 2 ^{2} - 4 \cdot 1 \cdot 36}{2 \cdot 1}

1 2^{2} - 4 \cdot 1 \cdot 36 = 0

x_{1, 2} = \frac{- 12 \pm 0}{2 \cdot 1}

x = \frac{- 12}{2 \cdot 1}

\frac{- 12}{2 \cdot 1} = - 6

x = - 6

The solution to the quadratic equation is:

x = - 6

3 x - 1 > - 22

4 x^{2} + 12 x + 25 = 0

\frac{m}{- 14} \leq - 4

4 h^{6} + 14 h^{5} - 12 h^{4} - 42 h^{3}

\frac{1}{4} = \frac{y}{12}

What are the solutions to the equation (x-6)^2=-24x ?
The solutions to the equation (x-6)^2=-24x are x=-6
Find the zeros of (x-6)^2=-24x
The zeros of (x-6)^2=-24x are x=-6