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Simplifying X(x + -6)(2x + 5) = 0 Reorder the terms: X(-6 + x)(2x + 5) = 0 Reorder the terms: X(-6 + x)(5 + 2x) = 0 Multiply (-6 + x) * (5 + 2x) X(-6(5 + 2x) + x(5 + 2x)) = 0 X((5 * -6 + 2x * -6) + x(5 + 2x)) = 0 X((-30 + -12x) + x(5 + 2x)) = 0 X(-30 + -12x + (5 * x + 2x * x)) = 0 X(-30 + -12x + (5x + 2x2)) = 0 Combine like terms: -12x + 5x = -7x X(-30 + -7x + 2x2) = 0 (-30 * X + -7x * X + 2x2 * X) = 0 (-30X + -7xX + 2x2X) = 0 Solving -30X + -7xX + 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 + -7x + 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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