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Simplifying x2(x2 + -36) + -4(x2 + -36) = 0 Reorder the terms: x2(-36 + x2) + -4(x2 + -36) = 0 (-36 * x2 + x2 * x2) + -4(x2 + -36) = 0 (-36x2 + x4) + -4(x2 + -36) = 0 Reorder the terms: -36x2 + x4 + -4(-36 + x2) = 0 -36x2 + x4 + (-36 * -4 + x2 * -4) = 0 -36x2 + x4 + (144 + -4x2) = 0 Reorder the terms: 144 + -36x2 + -4x2 + x4 = 0 Combine like terms: -36x2 + -4x2 = -40x2 144 + -40x2 + x4 = 0 Solving 144 + -40x2 + x4 = 0 Solving for variable 'x'. Factor a trinomial. (4 + -1x2)(36 + -1x2) = 0 Factor a difference between two squares. ((2 + x)(2 + -1x))(36 + -1x2) = 0 Factor a difference between two squares. ((6 + x)(6 + -1x))(2 + x)(2 + -1x) = 0Subproblem 1
Set the factor '(2 + x)' equal to zero and attempt to solve: Simplifying 2 + x = 0 Solving 2 + x = 0 Move all terms containing x to the left, all other terms to the right. Add '-2' to each side of the equation. 2 + -2 + x = 0 + -2 Combine like terms: 2 + -2 = 0 0 + x = 0 + -2 x = 0 + -2 Combine like terms: 0 + -2 = -2 x = -2 Simplifying x = -2Subproblem 2
Set the factor '(2 + -1x)' equal to zero and attempt to solve: Simplifying 2 + -1x = 0 Solving 2 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '-2' to each side of the equation. 2 + -2 + -1x = 0 + -2 Combine like terms: 2 + -2 = 0 0 + -1x = 0 + -2 -1x = 0 + -2 Combine like terms: 0 + -2 = -2 -1x = -2 Divide each side by '-1'. x = 2 Simplifying x = 2Subproblem 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 = {-2, 2, -6, 6}
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