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Simplifying X(9 + -6x)(x + -5) = 0 Reorder the terms: X(9 + -6x)(-5 + x) = 0 Multiply (9 + -6x) * (-5 + x) X(9(-5 + x) + -6x * (-5 + x)) = 0 X((-5 * 9 + x * 9) + -6x * (-5 + x)) = 0 X((-45 + 9x) + -6x * (-5 + x)) = 0 X(-45 + 9x + (-5 * -6x + x * -6x)) = 0 X(-45 + 9x + (30x + -6x2)) = 0 Combine like terms: 9x + 30x = 39x X(-45 + 39x + -6x2) = 0 (-45 * X + 39x * X + -6x2 * X) = 0 (-45X + 39xX + -6x2X) = 0 Solving -45X + 39xX + -6x2X = 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), '3X'. 3X(-15 + 13x + -2x2) = 0 Factor a trinomial. 3X((-5 + x)(3 + -2x)) = 0 Ignore the factor 3.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 + x)' equal to zero and attempt to solve: Simplifying -5 + x = 0 Solving -5 + x = 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 + x = 0 + 5 Combine like terms: -5 + 5 = 0 0 + x = 0 + 5 x = 0 + 5 Combine like terms: 0 + 5 = 5 x = 5 Add '-1x' to each side of the equation. x + -1x = 5 + -1x Combine like terms: x + -1x = 0 0 = 5 + -1x Simplifying 0 = 5 + -1x 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 + -2x)' equal to zero and attempt to solve: Simplifying 3 + -2x = 0 Solving 3 + -2x = 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 + -2x = 0 + -3 Combine like terms: 3 + -3 = 0 0 + -2x = 0 + -3 -2x = 0 + -3 Combine like terms: 0 + -3 = -3 -2x = -3 Add '2x' to each side of the equation. -2x + 2x = -3 + 2x Combine like terms: -2x + 2x = 0 0 = -3 + 2x Simplifying 0 = -3 + 2x 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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