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Simplifying 60x = 3x2 + 36x Reorder the terms: 60x = 36x + 3x2 Solving 60x = 36x + 3x2 Solving for variable 'x'. Combine like terms: 60x + -36x = 24x 24x + -3x2 = 36x + 3x2 + -36x + -3x2 Reorder the terms: 24x + -3x2 = 36x + -36x + 3x2 + -3x2 Combine like terms: 36x + -36x = 0 24x + -3x2 = 0 + 3x2 + -3x2 24x + -3x2 = 3x2 + -3x2 Combine like terms: 3x2 + -3x2 = 0 24x + -3x2 = 0 Factor out the Greatest Common Factor (GCF), '3x'. 3x(8 + -1x) = 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 + -1x)' equal to zero and attempt to solve: Simplifying 8 + -1x = 0 Solving 8 + -1x = 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 + -1x = 0 + -8 Combine like terms: 8 + -8 = 0 0 + -1x = 0 + -8 -1x = 0 + -8 Combine like terms: 0 + -8 = -8 -1x = -8 Divide each side by '-1'. x = 8 Simplifying x = 8Solution
x = {0, 8}
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