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

Solution for -2(x+3)(x-3)=0 equation:

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

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

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

Multiply (3 + x) * (-3 + x)
-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)) = 0

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

Solving
18 + -2x2 = 0

Solving for variable 'x'.

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

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

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

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

Divide each side by '-2'.
x2 = 9

Simplifying
x2 = 9

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