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Simplifying 4x2 = 12x2 + -24x Reorder the terms: 4x2 = -24x + 12x2 Solving 4x2 = -24x + 12x2 Solving for variable 'x'. Reorder the terms: 24x + 4x2 + -12x2 = -24x + 12x2 + 24x + -12x2 Combine like terms: 4x2 + -12x2 = -8x2 24x + -8x2 = -24x + 12x2 + 24x + -12x2 Reorder the terms: 24x + -8x2 = -24x + 24x + 12x2 + -12x2 Combine like terms: -24x + 24x = 0 24x + -8x2 = 0 + 12x2 + -12x2 24x + -8x2 = 12x2 + -12x2 Combine like terms: 12x2 + -12x2 = 0 24x + -8x2 = 0 Factor out the Greatest Common Factor (GCF), '8x'. 8x(3 + -1x) = 0 Ignore the factor 8.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 = 3Solution
x = {0, 3}
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