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Simplifying 2x2 + -1x + -13 = x2 + 11x + 15 Reorder the terms: -13 + -1x + 2x2 = x2 + 11x + 15 Reorder the terms: -13 + -1x + 2x2 = 15 + 11x + x2 Solving -13 + -1x + 2x2 = 15 + 11x + x2 Solving for variable 'x'. Reorder the terms: -13 + -15 + -1x + -11x + 2x2 + -1x2 = 15 + 11x + x2 + -15 + -11x + -1x2 Combine like terms: -13 + -15 = -28 -28 + -1x + -11x + 2x2 + -1x2 = 15 + 11x + x2 + -15 + -11x + -1x2 Combine like terms: -1x + -11x = -12x -28 + -12x + 2x2 + -1x2 = 15 + 11x + x2 + -15 + -11x + -1x2 Combine like terms: 2x2 + -1x2 = 1x2 -28 + -12x + 1x2 = 15 + 11x + x2 + -15 + -11x + -1x2 Reorder the terms: -28 + -12x + 1x2 = 15 + -15 + 11x + -11x + x2 + -1x2 Combine like terms: 15 + -15 = 0 -28 + -12x + 1x2 = 0 + 11x + -11x + x2 + -1x2 -28 + -12x + 1x2 = 11x + -11x + x2 + -1x2 Combine like terms: 11x + -11x = 0 -28 + -12x + 1x2 = 0 + x2 + -1x2 -28 + -12x + 1x2 = x2 + -1x2 Combine like terms: x2 + -1x2 = 0 -28 + -12x + 1x2 = 0 Factor a trinomial. (-2 + -1x)(14 + -1x) = 0Subproblem 1
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 = -2Subproblem 2
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 = 14Solution
x = {-2, 14}
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