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Simplifying x2 + 17x + 66 = 84 Reorder the terms: 66 + 17x + x2 = 84 Solving 66 + 17x + x2 = 84 Solving for variable 'x'. Reorder the terms: 66 + -84 + 17x + x2 = 84 + -84 Combine like terms: 66 + -84 = -18 -18 + 17x + x2 = 84 + -84 Combine like terms: 84 + -84 = 0 -18 + 17x + x2 = 0 Factor a trinomial. (-18 + -1x)(1 + -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 '(1 + -1x)' equal to zero and attempt to solve: Simplifying 1 + -1x = 0 Solving 1 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '-1' to each side of the equation. 1 + -1 + -1x = 0 + -1 Combine like terms: 1 + -1 = 0 0 + -1x = 0 + -1 -1x = 0 + -1 Combine like terms: 0 + -1 = -1 -1x = -1 Divide each side by '-1'. x = 1 Simplifying x = 1Solution
x = {-18, 1}
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