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Simplifying (9x + 8)(9x + 8) = 0 Reorder the terms: (8 + 9x)(9x + 8) = 0 Reorder the terms: (8 + 9x)(8 + 9x) = 0 Multiply (8 + 9x) * (8 + 9x) (8(8 + 9x) + 9x * (8 + 9x)) = 0 ((8 * 8 + 9x * 8) + 9x * (8 + 9x)) = 0 ((64 + 72x) + 9x * (8 + 9x)) = 0 (64 + 72x + (8 * 9x + 9x * 9x)) = 0 (64 + 72x + (72x + 81x2)) = 0 Combine like terms: 72x + 72x = 144x (64 + 144x + 81x2) = 0 Solving 64 + 144x + 81x2 = 0 Solving for variable 'x'. Factor a trinomial. (8 + 9x)(8 + 9x) = 0Subproblem 1
Set the factor '(8 + 9x)' equal to zero and attempt to solve: Simplifying 8 + 9x = 0 Solving 8 + 9x = 0 Move all terms containing x to the left, all other terms to the right. Add '-8' to each side of the equation. 8 + -8 + 9x = 0 + -8 Combine like terms: 8 + -8 = 0 0 + 9x = 0 + -8 9x = 0 + -8 Combine like terms: 0 + -8 = -8 9x = -8 Divide each side by '9'. x = -0.8888888889 Simplifying x = -0.8888888889Subproblem 2
Set the factor '(8 + 9x)' equal to zero and attempt to solve: Simplifying 8 + 9x = 0 Solving 8 + 9x = 0 Move all terms containing x to the left, all other terms to the right. Add '-8' to each side of the equation. 8 + -8 + 9x = 0 + -8 Combine like terms: 8 + -8 = 0 0 + 9x = 0 + -8 9x = 0 + -8 Combine like terms: 0 + -8 = -8 9x = -8 Divide each side by '9'. x = -0.8888888889 Simplifying x = -0.8888888889Solution
x = {-0.8888888889, -0.8888888889}
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