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Simplifying x2 + 16x + 60 = 96 Reorder the terms: 60 + 16x + x2 = 96 Solving 60 + 16x + x2 = 96 Solving for variable 'x'. Reorder the terms: 60 + -96 + 16x + x2 = 96 + -96 Combine like terms: 60 + -96 = -36 -36 + 16x + x2 = 96 + -96 Combine like terms: 96 + -96 = 0 -36 + 16x + x2 = 0 Factor a trinomial. (-18 + -1x)(2 + -1x) = 0Subproblem 1
Set the factor '(-18 + -1x)' equal to zero and attempt to solve: Simplifying -18 + -1x = 0 Solving -18 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '18' to each side of the equation. -18 + 18 + -1x = 0 + 18 Combine like terms: -18 + 18 = 0 0 + -1x = 0 + 18 -1x = 0 + 18 Combine like terms: 0 + 18 = 18 -1x = 18 Divide each side by '-1'. x = -18 Simplifying x = -18Subproblem 2
Set the factor '(2 + -1x)' equal to zero and attempt to solve: Simplifying 2 + -1x = 0 Solving 2 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '-2' to each side of the equation. 2 + -2 + -1x = 0 + -2 Combine like terms: 2 + -2 = 0 0 + -1x = 0 + -2 -1x = 0 + -2 Combine like terms: 0 + -2 = -2 -1x = -2 Divide each side by '-1'. x = 2 Simplifying x = 2Solution
x = {-18, 2}
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