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Simplifying 2x3 = 2x(7x + -12) Reorder the terms: 2x3 = 2x(-12 + 7x) 2x3 = (-12 * 2x + 7x * 2x) 2x3 = (-24x + 14x2) Solving 2x3 = -24x + 14x2 Solving for variable 'x'. Reorder the terms: 24x + -14x2 + 2x3 = -24x + 14x2 + 24x + -14x2 Reorder the terms: 24x + -14x2 + 2x3 = -24x + 24x + 14x2 + -14x2 Combine like terms: -24x + 24x = 0 24x + -14x2 + 2x3 = 0 + 14x2 + -14x2 24x + -14x2 + 2x3 = 14x2 + -14x2 Combine like terms: 14x2 + -14x2 = 0 24x + -14x2 + 2x3 = 0 Factor out the Greatest Common Factor (GCF), '2x'. 2x(12 + -7x + x2) = 0 Factor a trinomial. 2x((3 + -1x)(4 + -1x)) = 0 Ignore the factor 2.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 Divide each side by '-1'. x = 3 Simplifying x = 3Subproblem 3
Set the factor '(4 + -1x)' equal to zero and attempt to solve: Simplifying 4 + -1x = 0 Solving 4 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '-4' to each side of the equation. 4 + -4 + -1x = 0 + -4 Combine like terms: 4 + -4 = 0 0 + -1x = 0 + -4 -1x = 0 + -4 Combine like terms: 0 + -4 = -4 -1x = -4 Divide each side by '-1'. x = 4 Simplifying x = 4Solution
x = {0, 3, 4}
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