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Simplifying 0 = (6x2) + -6x + -72 Reorder the terms: 0 = -72 + -6x + (6x2) Solving 0 = -72 + -6x + (6x2) Solving for variable 'x'. Combine like terms: 0 + 72 = 72 72 + 6x + (-6x2) = -72 + -6x + (6x2) + 72 + 6x + (-6x2) Reorder the terms: 72 + 6x + (-6x2) = -72 + 72 + -6x + 6x + (6x2) + (-6x2) Combine like terms: -72 + 72 = 0 72 + 6x + (-6x2) = 0 + -6x + 6x + (6x2) + (-6x2) 72 + 6x + (-6x2) = -6x + 6x + (6x2) + (-6x2) Combine like terms: -6x + 6x = 0 72 + 6x + (-6x2) = 0 + (6x2) + (-6x2) 72 + 6x + (-6x2) = (6x2) + (-6x2) Combine like terms: (6x2) + (-6x2) = 0 72 + 6x + (-6x2) = 0 Factor out the Greatest Common Factor (GCF), '6'. 6(12 + x + (-1x2)) = 0 Factor a trinomial. 6((4 + -1x)(3 + x)) = 0 Ignore the factor 6.Subproblem 1
Set the factor '(4 + -1x)' equal to zero and attempt to solve: Simplifying 4 + -1x = 0 Solving 4 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '-4' to each side of the equation. 4 + -4 + -1x = 0 + -4 Combine like terms: 4 + -4 = 0 0 + -1x = 0 + -4 -1x = 0 + -4 Combine like terms: 0 + -4 = -4 -1x = -4 Divide each side by '-1'. x = 4 Simplifying x = 4Subproblem 2
Set the factor '(3 + x)' equal to zero and attempt to solve: Simplifying 3 + x = 0 Solving 3 + x = 0 Move all terms containing x to the left, all other terms to the right. Add '-3' to each side of the equation. 3 + -3 + x = 0 + -3 Combine like terms: 3 + -3 = 0 0 + x = 0 + -3 x = 0 + -3 Combine like terms: 0 + -3 = -3 x = -3 Simplifying x = -3Solution
x = {4, -3}
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