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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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