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Simplifying X(x + -2)(x + -2) = 0 Reorder the terms: X(-2 + x)(x + -2) = 0 Reorder the terms: X(-2 + x)(-2 + x) = 0 Multiply (-2 + x) * (-2 + x) X(-2(-2 + x) + x(-2 + x)) = 0 X((-2 * -2 + x * -2) + x(-2 + x)) = 0 X((4 + -2x) + x(-2 + x)) = 0 X(4 + -2x + (-2 * x + x * x)) = 0 X(4 + -2x + (-2x + x2)) = 0 Combine like terms: -2x + -2x = -4x X(4 + -4x + x2) = 0 (4 * X + -4x * X + x2 * X) = 0 (4X + -4xX + x2X) = 0 Solving 4X + -4xX + x2X = 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(4 + -4x + x2) = 0 Factor a trinomial. X((2 + -1x)(2 + -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 '(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 Add 'x' to each side of the equation. -1x + x = -2 + x Combine like terms: -1x + x = 0 0 = -2 + x Simplifying 0 = -2 + x 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 '(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 Add 'x' to each side of the equation. -1x + x = -2 + x Combine like terms: -1x + x = 0 0 = -2 + x Simplifying 0 = -2 + 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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