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