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Simplifying 2x2 + 10x + -72 = x2 + 9x + 110 Reorder the terms: -72 + 10x + 2x2 = x2 + 9x + 110 Reorder the terms: -72 + 10x + 2x2 = 110 + 9x + x2 Solving -72 + 10x + 2x2 = 110 + 9x + x2 Solving for variable 'x'. Reorder the terms: -72 + -110 + 10x + -9x + 2x2 + -1x2 = 110 + 9x + x2 + -110 + -9x + -1x2 Combine like terms: -72 + -110 = -182 -182 + 10x + -9x + 2x2 + -1x2 = 110 + 9x + x2 + -110 + -9x + -1x2 Combine like terms: 10x + -9x = 1x -182 + 1x + 2x2 + -1x2 = 110 + 9x + x2 + -110 + -9x + -1x2 Combine like terms: 2x2 + -1x2 = 1x2 -182 + 1x + 1x2 = 110 + 9x + x2 + -110 + -9x + -1x2 Reorder the terms: -182 + 1x + 1x2 = 110 + -110 + 9x + -9x + x2 + -1x2 Combine like terms: 110 + -110 = 0 -182 + 1x + 1x2 = 0 + 9x + -9x + x2 + -1x2 -182 + 1x + 1x2 = 9x + -9x + x2 + -1x2 Combine like terms: 9x + -9x = 0 -182 + 1x + 1x2 = 0 + x2 + -1x2 -182 + 1x + 1x2 = x2 + -1x2 Combine like terms: x2 + -1x2 = 0 -182 + 1x + 1x2 = 0 Factor a trinomial. (-14 + -1x)(13 + -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 '(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 = 13Solution
x = {-14, 13}
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