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Simplifying -1x2 + 23x + 54 = 180 Reorder the terms: 54 + 23x + -1x2 = 180 Solving 54 + 23x + -1x2 = 180 Solving for variable 'x'. Reorder the terms: 54 + -180 + 23x + -1x2 = 180 + -180 Combine like terms: 54 + -180 = -126 -126 + 23x + -1x2 = 180 + -180 Combine like terms: 180 + -180 = 0 -126 + 23x + -1x2 = 0 Factor a trinomial. (-14 + x)(9 + -1x) = 0Subproblem 1
Set the factor '(-14 + x)' equal to zero and attempt to solve: Simplifying -14 + x = 0 Solving -14 + x = 0 Move all terms containing x to the left, all other terms to the right. Add '14' to each side of the equation. -14 + 14 + x = 0 + 14 Combine like terms: -14 + 14 = 0 0 + x = 0 + 14 x = 0 + 14 Combine like terms: 0 + 14 = 14 x = 14 Simplifying x = 14Subproblem 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 = {14, 9}
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