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Simplifying (x + -3)(x + 3)(x2 + 9) = 0 Reorder the terms: (-3 + x)(x + 3)(x2 + 9) = 0 Reorder the terms: (-3 + x)(3 + x)(x2 + 9) = 0 Reorder the terms: (-3 + x)(3 + x)(9 + x2) = 0 Multiply (-3 + x) * (3 + x) (-3(3 + x) + x(3 + x))(9 + x2) = 0 ((3 * -3 + x * -3) + x(3 + x))(9 + x2) = 0 ((-9 + -3x) + x(3 + x))(9 + x2) = 0 (-9 + -3x + (3 * x + x * x))(9 + x2) = 0 (-9 + -3x + (3x + x2))(9 + x2) = 0 Combine like terms: -3x + 3x = 0 (-9 + 0 + x2)(9 + x2) = 0 (-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 = 0 (-81 + 0 + x4) = 0 (-81 + x4) = 0 Solving -81 + x4 = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '81' to each side of the equation. -81 + 81 + x4 = 0 + 81 Combine like terms: -81 + 81 = 0 0 + x4 = 0 + 81 x4 = 0 + 81 Combine like terms: 0 + 81 = 81 x4 = 81 Simplifying x4 = 81 Reorder the terms: -81 + x4 = 81 + -81 Combine like terms: 81 + -81 = 0 -81 + x4 = 0 Factor a difference between two squares. (9 + x2)(-9 + x2) = 0 Factor a difference between two squares. (9 + x2)((3 + x)(-3 + x)) = 0Subproblem 1
Set the factor '(9 + x2)' equal to zero and attempt to solve: Simplifying 9 + x2 = 0 Solving 9 + x2 = 0 Move all terms containing x to the left, all other terms to the right. Add '-9' to each side of the equation. 9 + -9 + x2 = 0 + -9 Combine like terms: 9 + -9 = 0 0 + x2 = 0 + -9 x2 = 0 + -9 Combine like terms: 0 + -9 = -9 x2 = -9 Simplifying x2 = -9 The solution to this equation could not be determined. This subproblem is being ignored because a solution could not be determined.Subproblem 2
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 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 = 3Solution
x = {-3, 3}
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