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Simplifying X(3x + -7)(2x + 5) = 0 Reorder the terms: X(-7 + 3x)(2x + 5) = 0 Reorder the terms: X(-7 + 3x)(5 + 2x) = 0 Multiply (-7 + 3x) * (5 + 2x) X(-7(5 + 2x) + 3x * (5 + 2x)) = 0 X((5 * -7 + 2x * -7) + 3x * (5 + 2x)) = 0 X((-35 + -14x) + 3x * (5 + 2x)) = 0 X(-35 + -14x + (5 * 3x + 2x * 3x)) = 0 X(-35 + -14x + (15x + 6x2)) = 0 Combine like terms: -14x + 15x = 1x X(-35 + 1x + 6x2) = 0 (-35 * X + 1x * X + 6x2 * X) = 0 (-35X + 1xX + 6x2X) = 0 Solving -35X + 1xX + 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(-35 + x + 6x2) = 0 Factor a trinomial. X((-5 + -2x)(7 + -3x)) = 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 '(7 + -3x)' equal to zero and attempt to solve: Simplifying 7 + -3x = 0 Solving 7 + -3x = 0 Move all terms containing X to the left, all other terms to the right. Add '-7' to each side of the equation. 7 + -7 + -3x = 0 + -7 Combine like terms: 7 + -7 = 0 0 + -3x = 0 + -7 -3x = 0 + -7 Combine like terms: 0 + -7 = -7 -3x = -7 Add '3x' to each side of the equation. -3x + 3x = -7 + 3x Combine like terms: -3x + 3x = 0 0 = -7 + 3x Simplifying 0 = -7 + 3x 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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