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Simplifying x2(x2 + -1) + -9(x2 + -1) = 0 Reorder the terms: x2(-1 + x2) + -9(x2 + -1) = 0 (-1 * x2 + x2 * x2) + -9(x2 + -1) = 0 (-1x2 + x4) + -9(x2 + -1) = 0 Reorder the terms: -1x2 + x4 + -9(-1 + x2) = 0 -1x2 + x4 + (-1 * -9 + x2 * -9) = 0 -1x2 + x4 + (9 + -9x2) = 0 Reorder the terms: 9 + -1x2 + -9x2 + x4 = 0 Combine like terms: -1x2 + -9x2 = -10x2 9 + -10x2 + x4 = 0 Solving 9 + -10x2 + x4 = 0 Solving for variable 'x'. Factor a trinomial. (1 + -1x2)(9 + -1x2) = 0 Factor a difference between two squares. ((1 + x)(1 + -1x))(9 + -1x2) = 0 Factor a difference between two squares. ((3 + x)(3 + -1x))(1 + x)(1 + -1x) = 0Subproblem 1
Set the factor '(1 + x)' equal to zero and attempt to solve: Simplifying 1 + x = 0 Solving 1 + x = 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 + x = 0 + -1 Combine like terms: 1 + -1 = 0 0 + x = 0 + -1 x = 0 + -1 Combine like terms: 0 + -1 = -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 = 1Subproblem 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 = {-1, 1, -3, 3}
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