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Simplifying x2 + -8x + -5 = -9x + 1 Reorder the terms: -5 + -8x + x2 = -9x + 1 Reorder the terms: -5 + -8x + x2 = 1 + -9x Solving -5 + -8x + x2 = 1 + -9x Solving for variable 'x'. Reorder the terms: -5 + -1 + -8x + 9x + x2 = 1 + -9x + -1 + 9x Combine like terms: -5 + -1 = -6 -6 + -8x + 9x + x2 = 1 + -9x + -1 + 9x Combine like terms: -8x + 9x = 1x -6 + 1x + x2 = 1 + -9x + -1 + 9x Reorder the terms: -6 + 1x + x2 = 1 + -1 + -9x + 9x Combine like terms: 1 + -1 = 0 -6 + 1x + x2 = 0 + -9x + 9x -6 + 1x + x2 = -9x + 9x Combine like terms: -9x + 9x = 0 -6 + 1x + x2 = 0 Factor a trinomial. (-3 + -1x)(2 + -1x) = 0Subproblem 1
Set the factor '(-3 + -1x)' equal to zero and attempt to solve: Simplifying -3 + -1x = 0 Solving -3 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '3' to each side of the equation. -3 + 3 + -1x = 0 + 3 Combine like terms: -3 + 3 = 0 0 + -1x = 0 + 3 -1x = 0 + 3 Combine like terms: 0 + 3 = 3 -1x = 3 Divide each side by '-1'. x = -3 Simplifying x = -3Subproblem 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 = {-3, 2}
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