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Simplifying x(12x + 60) = 792 Reorder the terms: x(60 + 12x) = 792 (60 * x + 12x * x) = 792 (60x + 12x2) = 792 Solving 60x + 12x2 = 792 Solving for variable 'x'. Reorder the terms: -792 + 60x + 12x2 = 792 + -792 Combine like terms: 792 + -792 = 0 -792 + 60x + 12x2 = 0 Factor out the Greatest Common Factor (GCF), '12'. 12(-66 + 5x + x2) = 0 Factor a trinomial. 12((-11 + -1x)(6 + -1x)) = 0 Ignore the factor 12.Subproblem 1
Set the factor '(-11 + -1x)' equal to zero and attempt to solve: Simplifying -11 + -1x = 0 Solving -11 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '11' to each side of the equation. -11 + 11 + -1x = 0 + 11 Combine like terms: -11 + 11 = 0 0 + -1x = 0 + 11 -1x = 0 + 11 Combine like terms: 0 + 11 = 11 -1x = 11 Divide each side by '-1'. x = -11 Simplifying x = -11Subproblem 2
Set the factor '(6 + -1x)' equal to zero and attempt to solve: Simplifying 6 + -1x = 0 Solving 6 + -1x = 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 + -1x = 0 + -6 Combine like terms: 6 + -6 = 0 0 + -1x = 0 + -6 -1x = 0 + -6 Combine like terms: 0 + -6 = -6 -1x = -6 Divide each side by '-1'. x = 6 Simplifying x = 6Solution
x = {-11, 6}
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