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Simplifying 3x(x + 12) = 60x Reorder the terms: 3x(12 + x) = 60x (12 * 3x + x * 3x) = 60x (36x + 3x2) = 60x Solving 36x + 3x2 = 60x Solving for variable 'x'. Reorder the terms: 36x + -60x + 3x2 = 60x + -60x Combine like terms: 36x + -60x = -24x -24x + 3x2 = 60x + -60x Combine like terms: 60x + -60x = 0 -24x + 3x2 = 0 Factor out the Greatest Common Factor (GCF), '3x'. 3x(-8 + 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 '(-8 + x)' equal to zero and attempt to solve: Simplifying -8 + x = 0 Solving -8 + x = 0 Move all terms containing x to the left, all other terms to the right. Add '8' to each side of the equation. -8 + 8 + x = 0 + 8 Combine like terms: -8 + 8 = 0 0 + x = 0 + 8 x = 0 + 8 Combine like terms: 0 + 8 = 8 x = 8 Simplifying x = 8Solution
x = {0, 8}
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