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Simplifying X(10 + -2x)(12 + -2x) = 0 Multiply (10 + -2x) * (12 + -2x) X(10(12 + -2x) + -2x * (12 + -2x)) = 0 X((12 * 10 + -2x * 10) + -2x * (12 + -2x)) = 0 X((120 + -20x) + -2x * (12 + -2x)) = 0 X(120 + -20x + (12 * -2x + -2x * -2x)) = 0 X(120 + -20x + (-24x + 4x2)) = 0 Combine like terms: -20x + -24x = -44x X(120 + -44x + 4x2) = 0 (120 * X + -44x * X + 4x2 * X) = 0 (120X + -44xX + 4x2X) = 0 Solving 120X + -44xX + 4x2X = 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), '4X'. 4X(30 + -11x + x2) = 0 Factor a trinomial. 4X((5 + -1x)(6 + -1x)) = 0 Ignore the factor 4.Subproblem 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 '(5 + -1x)' equal to zero and attempt to solve: Simplifying 5 + -1x = 0 Solving 5 + -1x = 0 Move all terms containing X to the left, all other terms to the right. Add '-5' to each side of the equation. 5 + -5 + -1x = 0 + -5 Combine like terms: 5 + -5 = 0 0 + -1x = 0 + -5 -1x = 0 + -5 Combine like terms: 0 + -5 = -5 -1x = -5 Add 'x' to each side of the equation. -1x + x = -5 + x Combine like terms: -1x + x = 0 0 = -5 + x Simplifying 0 = -5 + 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 '(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.Solution
X = {0}
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