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Simplifying 2x2 + -5x + -8 = x2 + 6 Reorder the terms: -8 + -5x + 2x2 = x2 + 6 Reorder the terms: -8 + -5x + 2x2 = 6 + x2 Solving -8 + -5x + 2x2 = 6 + x2 Solving for variable 'x'. Reorder the terms: -8 + -6 + -5x + 2x2 + -1x2 = 6 + x2 + -6 + -1x2 Combine like terms: -8 + -6 = -14 -14 + -5x + 2x2 + -1x2 = 6 + x2 + -6 + -1x2 Combine like terms: 2x2 + -1x2 = 1x2 -14 + -5x + 1x2 = 6 + x2 + -6 + -1x2 Reorder the terms: -14 + -5x + 1x2 = 6 + -6 + x2 + -1x2 Combine like terms: 6 + -6 = 0 -14 + -5x + 1x2 = 0 + x2 + -1x2 -14 + -5x + 1x2 = x2 + -1x2 Combine like terms: x2 + -1x2 = 0 -14 + -5x + 1x2 = 0 Factor a trinomial. (-2 + -1x)(7 + -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 '(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 = {-2, 7}
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