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Simplifying (x2 + -9)(x2 + -36) = 0 Reorder the terms: (-9 + x2)(x2 + -36) = 0 Reorder the terms: (-9 + x2)(-36 + x2) = 0 Multiply (-9 + x2) * (-36 + x2) (-9(-36 + x2) + x2(-36 + x2)) = 0 ((-36 * -9 + x2 * -9) + x2(-36 + x2)) = 0 ((324 + -9x2) + x2(-36 + x2)) = 0 (324 + -9x2 + (-36 * x2 + x2 * x2)) = 0 (324 + -9x2 + (-36x2 + x4)) = 0 Combine like terms: -9x2 + -36x2 = -45x2 (324 + -45x2 + x4) = 0 Solving 324 + -45x2 + x4 = 0 Solving for variable 'x'. Factor a trinomial. (9 + -1x2)(36 + -1x2) = 0 Factor a difference between two squares. ((3 + x)(3 + -1x))(36 + -1x2) = 0 Factor a difference between two squares. ((6 + x)(6 + -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 '(6 + x)' equal to zero and attempt to solve: Simplifying 6 + x = 0 Solving 6 + x = 0 Move all terms containing x to the left, all other terms to the right. Add '-6' to each side of the equation. 6 + -6 + x = 0 + -6 Combine like terms: 6 + -6 = 0 0 + x = 0 + -6 x = 0 + -6 Combine like terms: 0 + -6 = -6 x = -6 Simplifying x = -6Subproblem 4
Set the factor '(6 + -1x)' equal to zero and attempt to solve: Simplifying 6 + -1x = 0 Solving 6 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '-6' to each side of the equation. 6 + -6 + -1x = 0 + -6 Combine like terms: 6 + -6 = 0 0 + -1x = 0 + -6 -1x = 0 + -6 Combine like terms: 0 + -6 = -6 -1x = -6 Divide each side by '-1'. x = 6 Simplifying x = 6Solution
x = {-3, 3, -6, 6}
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