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Simplifying x2 = 18x + -72 Reorder the terms: x2 = -72 + 18x Solving x2 = -72 + 18x Solving for variable 'x'. Reorder the terms: 72 + -18x + x2 = -72 + 18x + 72 + -18x Reorder the terms: 72 + -18x + x2 = -72 + 72 + 18x + -18x Combine like terms: -72 + 72 = 0 72 + -18x + x2 = 0 + 18x + -18x 72 + -18x + x2 = 18x + -18x Combine like terms: 18x + -18x = 0 72 + -18x + x2 = 0 Factor a trinomial. (6 + -1x)(12 + -1x) = 0Subproblem 1
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 = 6Subproblem 2
Set the factor '(12 + -1x)' equal to zero and attempt to solve: Simplifying 12 + -1x = 0 Solving 12 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '-12' to each side of the equation. 12 + -12 + -1x = 0 + -12 Combine like terms: 12 + -12 = 0 0 + -1x = 0 + -12 -1x = 0 + -12 Combine like terms: 0 + -12 = -12 -1x = -12 Divide each side by '-1'. x = 12 Simplifying x = 12Solution
x = {6, 12}
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