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Simplifying x2 + -18x + 5 = -12 Reorder the terms: 5 + -18x + x2 = -12 Solving 5 + -18x + x2 = -12 Solving for variable 'x'. Reorder the terms: 5 + 12 + -18x + x2 = -12 + 12 Combine like terms: 5 + 12 = 17 17 + -18x + x2 = -12 + 12 Combine like terms: -12 + 12 = 0 17 + -18x + x2 = 0 Factor a trinomial. (1 + -1x)(17 + -1x) = 0Subproblem 1
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 = 1Subproblem 2
Set the factor '(17 + -1x)' equal to zero and attempt to solve: Simplifying 17 + -1x = 0 Solving 17 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '-17' to each side of the equation. 17 + -17 + -1x = 0 + -17 Combine like terms: 17 + -17 = 0 0 + -1x = 0 + -17 -1x = 0 + -17 Combine like terms: 0 + -17 = -17 -1x = -17 Divide each side by '-1'. x = 17 Simplifying x = 17Solution
x = {1, 17}
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