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Simplifying X(11x + -3)(4x + 12) = 0 Reorder the terms: X(-3 + 11x)(4x + 12) = 0 Reorder the terms: X(-3 + 11x)(12 + 4x) = 0 Multiply (-3 + 11x) * (12 + 4x) X(-3(12 + 4x) + 11x * (12 + 4x)) = 0 X((12 * -3 + 4x * -3) + 11x * (12 + 4x)) = 0 X((-36 + -12x) + 11x * (12 + 4x)) = 0 X(-36 + -12x + (12 * 11x + 4x * 11x)) = 0 X(-36 + -12x + (132x + 44x2)) = 0 Combine like terms: -12x + 132x = 120x X(-36 + 120x + 44x2) = 0 (-36 * X + 120x * X + 44x2 * X) = 0 (-36X + 120xX + 44x2X) = 0 Solving -36X + 120xX + 44x2X = 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), '4X'. 4X(-9 + 30x + 11x2) = 0 Factor a trinomial. 4X((-3 + -1x)(3 + -11x)) = 0 Ignore the factor 4.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 '(-3 + -1x)' equal to zero and attempt to solve: Simplifying -3 + -1x = 0 Solving -3 + -1x = 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 + -1x = 0 + 3 Combine like terms: -3 + 3 = 0 0 + -1x = 0 + 3 -1x = 0 + 3 Combine like terms: 0 + 3 = 3 -1x = 3 Add 'x' to each side of the equation. -1x + x = 3 + x Combine like terms: -1x + x = 0 0 = 3 + x Simplifying 0 = 3 + x 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 + -11x)' equal to zero and attempt to solve: Simplifying 3 + -11x = 0 Solving 3 + -11x = 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 + -11x = 0 + -3 Combine like terms: 3 + -3 = 0 0 + -11x = 0 + -3 -11x = 0 + -3 Combine like terms: 0 + -3 = -3 -11x = -3 Add '11x' to each side of the equation. -11x + 11x = -3 + 11x Combine like terms: -11x + 11x = 0 0 = -3 + 11x Simplifying 0 = -3 + 11x 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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