=-2(x-3)(x+3)

Solution for =-2(x-3)(x+3) equation:

Simplifying
0 = -2(x + -3)(x + 3)

Reorder the terms:
0 = -2(-3 + x)(x + 3)

Reorder the terms:
0 = -2(-3 + x)(3 + x)

Multiply (-3 + x) * (3 + x)
0 = -2(-3(3 + x) + x(3 + x))
0 = -2((3 * -3 + x * -3) + x(3 + x))
0 = -2((-9 + -3x) + x(3 + x))
0 = -2(-9 + -3x + (3 * x + x * x))
0 = -2(-9 + -3x + (3x + x2))

Combine like terms: -3x + 3x = 0
0 = -2(-9 + 0 + x2)
0 = -2(-9 + x2)
0 = (-9 * -2 + x2 * -2)
0 = (18 + -2x2)

Solving
0 = 18 + -2x2

Solving for variable 'x'.

Move all terms containing x to the left, all other terms to the right.

Add '2x2' to each side of the equation.
0 + 2x2 = 18 + -2x2 + 2x2
Remove the zero:
2x2 = 18 + -2x2 + 2x2

Combine like terms: -2x2 + 2x2 = 0
2x2 = 18 + 0
2x2 = 18

Divide each side by '2'.
x2 = 9

Simplifying
x2 = 9

Take the square root of each side:
x = {-3, 3}