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Simplifying (9x + -9)(9x + -9) = 0 Reorder the terms: (-9 + 9x)(9x + -9) = 0 Reorder the terms: (-9 + 9x)(-9 + 9x) = 0 Multiply (-9 + 9x) * (-9 + 9x) (-9(-9 + 9x) + 9x * (-9 + 9x)) = 0 ((-9 * -9 + 9x * -9) + 9x * (-9 + 9x)) = 0 ((81 + -81x) + 9x * (-9 + 9x)) = 0 (81 + -81x + (-9 * 9x + 9x * 9x)) = 0 (81 + -81x + (-81x + 81x2)) = 0 Combine like terms: -81x + -81x = -162x (81 + -162x + 81x2) = 0 Solving 81 + -162x + 81x2 = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), '81'. 81(1 + -2x + x2) = 0 Factor a trinomial. 81((1 + -1x)(1 + -1x)) = 0 Ignore the factor 81.Subproblem 1
Set the factor '(1 + -1x)' equal to zero and attempt to solve: Simplifying 1 + -1x = 0 Solving 1 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '-1' to each side of the equation. 1 + -1 + -1x = 0 + -1 Combine like terms: 1 + -1 = 0 0 + -1x = 0 + -1 -1x = 0 + -1 Combine like terms: 0 + -1 = -1 -1x = -1 Divide each side by '-1'. x = 1 Simplifying x = 1Subproblem 2
Set the factor '(1 + -1x)' equal to zero and attempt to solve: Simplifying 1 + -1x = 0 Solving 1 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '-1' to each side of the equation. 1 + -1 + -1x = 0 + -1 Combine like terms: 1 + -1 = 0 0 + -1x = 0 + -1 -1x = 0 + -1 Combine like terms: 0 + -1 = -1 -1x = -1 Divide each side by '-1'. x = 1 Simplifying x = 1Solution
x = {1, 1}
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