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Simplifying x3 + -24x2 + 144x = x3 + -12x2 Reorder the terms: 144x + -24x2 + x3 = x3 + -12x2 Reorder the terms: 144x + -24x2 + x3 = -12x2 + x3 Add '-1x3' to each side of the equation. 144x + -24x2 + x3 + -1x3 = -12x2 + x3 + -1x3 Combine like terms: x3 + -1x3 = 0 144x + -24x2 + 0 = -12x2 + x3 + -1x3 144x + -24x2 = -12x2 + x3 + -1x3 Combine like terms: x3 + -1x3 = 0 144x + -24x2 = -12x2 + 0 144x + -24x2 = -12x2 Solving 144x + -24x2 = -12x2 Solving for variable 'x'. Combine like terms: -24x2 + 12x2 = -12x2 144x + -12x2 = -12x2 + 12x2 Combine like terms: -12x2 + 12x2 = 0 144x + -12x2 = 0 Factor out the Greatest Common Factor (GCF), '12x'. 12x(12 + -1x) = 0 Ignore the factor 12.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 '(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, 12}
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