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Simplifying X(x2 + 3)(x2 + -9) = 0 Reorder the terms: X(3 + x2)(x2 + -9) = 0 Reorder the terms: X(3 + x2)(-9 + x2) = 0 Multiply (3 + x2) * (-9 + x2) X(3(-9 + x2) + x2(-9 + x2)) = 0 X((-9 * 3 + x2 * 3) + x2(-9 + x2)) = 0 X((-27 + 3x2) + x2(-9 + x2)) = 0 X(-27 + 3x2 + (-9 * x2 + x2 * x2)) = 0 X(-27 + 3x2 + (-9x2 + x4)) = 0 Combine like terms: 3x2 + -9x2 = -6x2 X(-27 + -6x2 + x4) = 0 (-27 * X + -6x2 * X + x4 * X) = 0 (-27X + -6x2X + x4X) = 0 Solving -27X + -6x2X + x4X = 0 Solving for variable 'X'. Move all terms containing X to the left, all other terms to the right. Factor out the Greatest Common Factor (GCF), 'X'. X(-27 + -6x2 + x4) = 0 Factor a trinomial. X((-3 + -1x2)(9 + -1x2)) = 0 Factor a difference between two squares. X((-3 + -1x2)((3 + x)(3 + -1x))) = 0Subproblem 1
Set the factor 'X' equal to zero and attempt to solve: Simplifying X = 0 Solving X = 0 Move all terms containing X to the left, all other terms to the right. Simplifying X = 0Subproblem 2
Set the factor '(-3 + -1x2)' equal to zero and attempt to solve: Simplifying -3 + -1x2 = 0 Solving -3 + -1x2 = 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 + -1x2 = 0 + 3 Combine like terms: -3 + 3 = 0 0 + -1x2 = 0 + 3 -1x2 = 0 + 3 Combine like terms: 0 + 3 = 3 -1x2 = 3 Add 'x2' to each side of the equation. -1x2 + x2 = 3 + x2 Combine like terms: -1x2 + x2 = 0 0 = 3 + x2 Simplifying 0 = 3 + x2 The solution to this equation could not be determined. This subproblem is being ignored because a solution could not be determined.Subproblem 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 Add '-1x' to each side of the equation. x + -1x = -3 + -1x Combine like terms: x + -1x = 0 0 = -3 + -1x Simplifying 0 = -3 + -1x The solution to this equation could not be determined. This subproblem is being ignored because a solution could not be determined.Subproblem 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 Add 'x' to each side of the equation. -1x + x = -3 + x Combine like terms: -1x + x = 0 0 = -3 + x Simplifying 0 = -3 + x The solution to this equation could not be determined. This subproblem is being ignored because a solution could not be determined.Solution
X = {0}
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