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Simplifying 2x3 = 28x2 + -48x Reorder the terms: 2x3 = -48x + 28x2 Solving 2x3 = -48x + 28x2 Solving for variable 'x'. Reorder the terms: 48x + -28x2 + 2x3 = -48x + 28x2 + 48x + -28x2 Reorder the terms: 48x + -28x2 + 2x3 = -48x + 48x + 28x2 + -28x2 Combine like terms: -48x + 48x = 0 48x + -28x2 + 2x3 = 0 + 28x2 + -28x2 48x + -28x2 + 2x3 = 28x2 + -28x2 Combine like terms: 28x2 + -28x2 = 0 48x + -28x2 + 2x3 = 0 Factor out the Greatest Common Factor (GCF), '2x'. 2x(24 + -14x + x2) = 0 Factor a trinomial. 2x((2 + -1x)(12 + -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 '(2 + -1x)' equal to zero and attempt to solve: Simplifying 2 + -1x = 0 Solving 2 + -1x = 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 + -1x = 0 + -2 Combine like terms: 2 + -2 = 0 0 + -1x = 0 + -2 -1x = 0 + -2 Combine like terms: 0 + -2 = -2 -1x = -2 Divide each side by '-1'. x = 2 Simplifying x = 2Subproblem 3
Set the factor '(12 + -1x)' equal to zero and attempt to solve: Simplifying 12 + -1x = 0 Solving 12 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '-12' to each side of the equation. 12 + -12 + -1x = 0 + -12 Combine like terms: 12 + -12 = 0 0 + -1x = 0 + -12 -1x = 0 + -12 Combine like terms: 0 + -12 = -12 -1x = -12 Divide each side by '-1'. x = 12 Simplifying x = 12Solution
x = {0, 2, 12}
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