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