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Simplifying x2 + 12x + -15 = 13 Reorder the terms: -15 + 12x + x2 = 13 Solving -15 + 12x + x2 = 13 Solving for variable 'x'. Reorder the terms: -15 + -13 + 12x + x2 = 13 + -13 Combine like terms: -15 + -13 = -28 -28 + 12x + x2 = 13 + -13 Combine like terms: 13 + -13 = 0 -28 + 12x + x2 = 0 Factor a trinomial. (-14 + -1x)(2 + -1x) = 0Subproblem 1
Set the factor '(-14 + -1x)' equal to zero and attempt to solve: Simplifying -14 + -1x = 0 Solving -14 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '14' to each side of the equation. -14 + 14 + -1x = 0 + 14 Combine like terms: -14 + 14 = 0 0 + -1x = 0 + 14 -1x = 0 + 14 Combine like terms: 0 + 14 = 14 -1x = 14 Divide each side by '-1'. x = -14 Simplifying x = -14Subproblem 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 = {-14, 2}
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