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Simplifying X(x3 + -4x) = 0 Reorder the terms: X(-4x + x3) = 0 (-4x * X + x3 * X) = 0 (-4xX + x3X) = 0 Solving -4xX + x3X = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), 'xX'. xX(-4 + x2) = 0 Factor a difference between two squares. xX((2 + x)(-2 + x)) = 0Subproblem 1
Set the factor 'xX' equal to zero and attempt to solve: Simplifying xX = 0 Solving xX = 0 Move all terms containing x to the left, all other terms to the right. Simplifying xX = 0 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 '(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 3
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 = 2Solution
x = {-2, 2}
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