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Simplifying (2x2 + 12x) = x(60 + -2x) Reorder the terms: (12x + 2x2) = x(60 + -2x) Remove parenthesis around (12x + 2x2) 12x + 2x2 = x(60 + -2x) 12x + 2x2 = (60 * x + -2x * x) 12x + 2x2 = (60x + -2x2) Solving 12x + 2x2 = 60x + -2x2 Solving for variable 'x'. Reorder the terms: 12x + -60x + 2x2 + 2x2 = 60x + -2x2 + -60x + 2x2 Combine like terms: 12x + -60x = -48x -48x + 2x2 + 2x2 = 60x + -2x2 + -60x + 2x2 Combine like terms: 2x2 + 2x2 = 4x2 -48x + 4x2 = 60x + -2x2 + -60x + 2x2 Reorder the terms: -48x + 4x2 = 60x + -60x + -2x2 + 2x2 Combine like terms: 60x + -60x = 0 -48x + 4x2 = 0 + -2x2 + 2x2 -48x + 4x2 = -2x2 + 2x2 Combine like terms: -2x2 + 2x2 = 0 -48x + 4x2 = 0 Factor out the Greatest Common Factor (GCF), '4x'. 4x(-12 + x) = 0 Ignore the factor 4.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 + x)' equal to zero and attempt to solve: Simplifying -12 + x = 0 Solving -12 + x = 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 + x = 0 + 12 Combine like terms: -12 + 12 = 0 0 + x = 0 + 12 x = 0 + 12 Combine like terms: 0 + 12 = 12 x = 12 Simplifying x = 12Solution
x = {0, 12}
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