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Simplifying
(9x + -2)(9x + 2) = 0
Reorder the terms:
(-2 + 9x)(9x + 2) = 0
Reorder the terms:
(-2 + 9x)(2 + 9x) = 0
Multiply (-2 + 9x) * (2 + 9x)
(-2(2 + 9x) + 9x * (2 + 9x)) = 0
((2 * -2 + 9x * -2) + 9x * (2 + 9x)) = 0
((-4 + -18x) + 9x * (2 + 9x)) = 0
(-4 + -18x + (2 * 9x + 9x * 9x)) = 0
(-4 + -18x + (18x + 81x2)) = 0
Combine like terms: -18x + 18x = 0
(-4 + 0 + 81x2) = 0
(-4 + 81x2) = 0
Solving
-4 + 81x2 = 0
Solving for variable 'x'.
Move all terms containing x to the left, all other terms to the right.
Add '4' to each side of the equation.
-4 + 4 + 81x2 = 0 + 4
Combine like terms: -4 + 4 = 0
0 + 81x2 = 0 + 4
81x2 = 0 + 4
Combine like terms: 0 + 4 = 4
81x2 = 4
Divide each side by '81'.
x2 = 0.04938271605
Simplifying
x2 = 0.04938271605
Take the square root of each side:
x = {-0.222222222, 0.222222222}
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