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Simplifying
(9x + -18)(9x + 18) = 0
Reorder the terms:
(-18 + 9x)(9x + 18) = 0
Reorder the terms:
(-18 + 9x)(18 + 9x) = 0
Multiply (-18 + 9x) * (18 + 9x)
(-18(18 + 9x) + 9x * (18 + 9x)) = 0
((18 * -18 + 9x * -18) + 9x * (18 + 9x)) = 0
((-324 + -162x) + 9x * (18 + 9x)) = 0
(-324 + -162x + (18 * 9x + 9x * 9x)) = 0
(-324 + -162x + (162x + 81x2)) = 0
Combine like terms: -162x + 162x = 0
(-324 + 0 + 81x2) = 0
(-324 + 81x2) = 0
Solving
-324 + 81x2 = 0
Solving for variable 'x'.
Move all terms containing x to the left, all other terms to the right.
Add '324' to each side of the equation.
-324 + 324 + 81x2 = 0 + 324
Combine like terms: -324 + 324 = 0
0 + 81x2 = 0 + 324
81x2 = 0 + 324
Combine like terms: 0 + 324 = 324
81x2 = 324
Divide each side by '81'.
x2 = 4
Simplifying
x2 = 4
Take the square root of each side:
x = {-2, 2}
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