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Simplifying X(2x + -5)(x + -6) = 0 Reorder the terms: X(-5 + 2x)(x + -6) = 0 Reorder the terms: X(-5 + 2x)(-6 + x) = 0 Multiply (-5 + 2x) * (-6 + x) X(-5(-6 + x) + 2x * (-6 + x)) = 0 X((-6 * -5 + x * -5) + 2x * (-6 + x)) = 0 X((30 + -5x) + 2x * (-6 + x)) = 0 X(30 + -5x + (-6 * 2x + x * 2x)) = 0 X(30 + -5x + (-12x + 2x2)) = 0 Combine like terms: -5x + -12x = -17x X(30 + -17x + 2x2) = 0 (30 * X + -17x * X + 2x2 * X) = 0 (30X + -17xX + 2x2X) = 0 Solving 30X + -17xX + 2x2X = 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(30 + -17x + 2x2) = 0 Factor a trinomial. X((5 + -2x)(6 + -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 '(5 + -2x)' equal to zero and attempt to solve: Simplifying 5 + -2x = 0 Solving 5 + -2x = 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 + -2x = 0 + -5 Combine like terms: 5 + -5 = 0 0 + -2x = 0 + -5 -2x = 0 + -5 Combine like terms: 0 + -5 = -5 -2x = -5 Add '2x' to each side of the equation. -2x + 2x = -5 + 2x Combine like terms: -2x + 2x = 0 0 = -5 + 2x Simplifying 0 = -5 + 2x 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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