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Simplifying X(x + -3)(x + 6) = 0 Reorder the terms: X(-3 + x)(x + 6) = 0 Reorder the terms: X(-3 + x)(6 + x) = 0 Multiply (-3 + x) * (6 + x) X(-3(6 + x) + x(6 + x)) = 0 X((6 * -3 + x * -3) + x(6 + x)) = 0 X((-18 + -3x) + x(6 + x)) = 0 X(-18 + -3x + (6 * x + x * x)) = 0 X(-18 + -3x + (6x + x2)) = 0 Combine like terms: -3x + 6x = 3x X(-18 + 3x + x2) = 0 (-18 * X + 3x * X + x2 * X) = 0 (-18X + 3xX + x2X) = 0 Solving -18X + 3xX + 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(-18 + 3x + x2) = 0 Factor a trinomial. X((-6 + -1x)(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 '(-6 + -1x)' equal to zero and attempt to solve: Simplifying -6 + -1x = 0 Solving -6 + -1x = 0 Move all terms containing X to the left, all other terms to the right. Add '6' to each side of the equation. -6 + 6 + -1x = 0 + 6 Combine like terms: -6 + 6 = 0 0 + -1x = 0 + 6 -1x = 0 + 6 Combine like terms: 0 + 6 = 6 -1x = 6 Add 'x' to each side of the equation. -1x + x = 6 + x Combine like terms: -1x + x = 0 0 = 6 + x Simplifying 0 = 6 + 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 '(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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