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Simplifying X(2x + -5)(3x + -2) = 0 Reorder the terms: X(-5 + 2x)(3x + -2) = 0 Reorder the terms: X(-5 + 2x)(-2 + 3x) = 0 Multiply (-5 + 2x) * (-2 + 3x) X(-5(-2 + 3x) + 2x * (-2 + 3x)) = 0 X((-2 * -5 + 3x * -5) + 2x * (-2 + 3x)) = 0 X((10 + -15x) + 2x * (-2 + 3x)) = 0 X(10 + -15x + (-2 * 2x + 3x * 2x)) = 0 X(10 + -15x + (-4x + 6x2)) = 0 Combine like terms: -15x + -4x = -19x X(10 + -19x + 6x2) = 0 (10 * X + -19x * X + 6x2 * X) = 0 (10X + -19xX + 6x2X) = 0 Solving 10X + -19xX + 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), 'X'. X(10 + -19x + 6x2) = 0 Factor a trinomial. X((2 + -3x)(5 + -2x)) = 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 '(2 + -3x)' equal to zero and attempt to solve: Simplifying 2 + -3x = 0 Solving 2 + -3x = 0 Move all terms containing X to the left, all other terms to the right. Add '-2' to each side of the equation. 2 + -2 + -3x = 0 + -2 Combine like terms: 2 + -2 = 0 0 + -3x = 0 + -2 -3x = 0 + -2 Combine like terms: 0 + -2 = -2 -3x = -2 Add '3x' to each side of the equation. -3x + 3x = -2 + 3x Combine like terms: -3x + 3x = 0 0 = -2 + 3x Simplifying 0 = -2 + 3x 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 '(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.Solution
X = {0}
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