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Simplifying x2 + -23x + 72 = -6x Reorder the terms: 72 + -23x + x2 = -6x Solving 72 + -23x + x2 = -6x Solving for variable 'x'. Reorder the terms: 72 + -23x + 6x + x2 = -6x + 6x Combine like terms: -23x + 6x = -17x 72 + -17x + x2 = -6x + 6x Combine like terms: -6x + 6x = 0 72 + -17x + x2 = 0 Factor a trinomial. (8 + -1x)(9 + -1x) = 0Subproblem 1
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 = 8Subproblem 2
Set the factor '(9 + -1x)' equal to zero and attempt to solve: Simplifying 9 + -1x = 0 Solving 9 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '-9' to each side of the equation. 9 + -9 + -1x = 0 + -9 Combine like terms: 9 + -9 = 0 0 + -1x = 0 + -9 -1x = 0 + -9 Combine like terms: 0 + -9 = -9 -1x = -9 Divide each side by '-1'. x = 9 Simplifying x = 9Solution
x = {8, 9}
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