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Simplifying x2 + -12x + 22 = -13 Reorder the terms: 22 + -12x + x2 = -13 Solving 22 + -12x + x2 = -13 Solving for variable 'x'. Reorder the terms: 22 + 13 + -12x + x2 = -13 + 13 Combine like terms: 22 + 13 = 35 35 + -12x + x2 = -13 + 13 Combine like terms: -13 + 13 = 0 35 + -12x + x2 = 0 Factor a trinomial. (5 + -1x)(7 + -1x) = 0Subproblem 1
Set the factor '(5 + -1x)' equal to zero and attempt to solve: Simplifying 5 + -1x = 0 Solving 5 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '-5' to each side of the equation. 5 + -5 + -1x = 0 + -5 Combine like terms: 5 + -5 = 0 0 + -1x = 0 + -5 -1x = 0 + -5 Combine like terms: 0 + -5 = -5 -1x = -5 Divide each side by '-1'. x = 5 Simplifying x = 5Subproblem 2
Set the factor '(7 + -1x)' equal to zero and attempt to solve: Simplifying 7 + -1x = 0 Solving 7 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '-7' to each side of the equation. 7 + -7 + -1x = 0 + -7 Combine like terms: 7 + -7 = 0 0 + -1x = 0 + -7 -1x = 0 + -7 Combine like terms: 0 + -7 = -7 -1x = -7 Divide each side by '-1'. x = 7 Simplifying x = 7Solution
x = {5, 7}
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