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Simplifying (x2 + -9)(x2 + -9) = 0 Reorder the terms: (-9 + x2)(x2 + -9) = 0 Reorder the terms: (-9 + x2)(-9 + x2) = 0 Multiply (-9 + x2) * (-9 + x2) (-9(-9 + x2) + x2(-9 + x2)) = 0 ((-9 * -9 + x2 * -9) + x2(-9 + x2)) = 0 ((81 + -9x2) + x2(-9 + x2)) = 0 (81 + -9x2 + (-9 * x2 + x2 * x2)) = 0 (81 + -9x2 + (-9x2 + x4)) = 0 Combine like terms: -9x2 + -9x2 = -18x2 (81 + -18x2 + x4) = 0 Solving 81 + -18x2 + x4 = 0 Solving for variable 'x'. Factor a trinomial. (9 + -1x2)(9 + -1x2) = 0 Factor a difference between two squares. ((3 + x)(3 + -1x))(9 + -1x2) = 0 Factor a difference between two squares. ((3 + x)(3 + -1x))(3 + x)(3 + -1x) = 0Subproblem 1
Set the factor '(3 + x)' equal to zero and attempt to solve: Simplifying 3 + x = 0 Solving 3 + x = 0 Move all terms containing x to the left, all other terms to the right. Add '-3' to each side of the equation. 3 + -3 + x = 0 + -3 Combine like terms: 3 + -3 = 0 0 + x = 0 + -3 x = 0 + -3 Combine like terms: 0 + -3 = -3 x = -3 Simplifying x = -3Subproblem 2
Set the factor '(3 + -1x)' equal to zero and attempt to solve: Simplifying 3 + -1x = 0 Solving 3 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '-3' to each side of the equation. 3 + -3 + -1x = 0 + -3 Combine like terms: 3 + -3 = 0 0 + -1x = 0 + -3 -1x = 0 + -3 Combine like terms: 0 + -3 = -3 -1x = -3 Divide each side by '-1'. x = 3 Simplifying x = 3Subproblem 3
Set the factor '(3 + x)' equal to zero and attempt to solve: Simplifying 3 + x = 0 Solving 3 + x = 0 Move all terms containing x to the left, all other terms to the right. Add '-3' to each side of the equation. 3 + -3 + x = 0 + -3 Combine like terms: 3 + -3 = 0 0 + x = 0 + -3 x = 0 + -3 Combine like terms: 0 + -3 = -3 x = -3 Simplifying x = -3Subproblem 4
Set the factor '(3 + -1x)' equal to zero and attempt to solve: Simplifying 3 + -1x = 0 Solving 3 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '-3' to each side of the equation. 3 + -3 + -1x = 0 + -3 Combine like terms: 3 + -3 = 0 0 + -1x = 0 + -3 -1x = 0 + -3 Combine like terms: 0 + -3 = -3 -1x = -3 Divide each side by '-1'. x = 3 Simplifying x = 3Solution
x = {-3, 3, -3, 3}
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