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Simplifying 12x(x) + -60x = 2x(x) Multiply x * x 12x2 + -60x = 2x(x) Reorder the terms: -60x + 12x2 = 2x(x) Multiply x * x -60x + 12x2 = 2x2 Solving -60x + 12x2 = 2x2 Solving for variable 'x'. Combine like terms: 12x2 + -2x2 = 10x2 -60x + 10x2 = 2x2 + -2x2 Combine like terms: 2x2 + -2x2 = 0 -60x + 10x2 = 0 Factor out the Greatest Common Factor (GCF), '10x'. 10x(-6 + x) = 0 Ignore the factor 10.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 '(-6 + x)' equal to zero and attempt to solve: Simplifying -6 + x = 0 Solving -6 + x = 0 Move all terms containing x to the left, all other terms to the right. Add '6' to each side of the equation. -6 + 6 + x = 0 + 6 Combine like terms: -6 + 6 = 0 0 + x = 0 + 6 x = 0 + 6 Combine like terms: 0 + 6 = 6 x = 6 Simplifying x = 6Solution
x = {0, 6}
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