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Simplifying x2 + 5x + -17 = x + -5 Reorder the terms: -17 + 5x + x2 = x + -5 Reorder the terms: -17 + 5x + x2 = -5 + x Solving -17 + 5x + x2 = -5 + x Solving for variable 'x'. Reorder the terms: -17 + 5 + 5x + -1x + x2 = -5 + x + 5 + -1x Combine like terms: -17 + 5 = -12 -12 + 5x + -1x + x2 = -5 + x + 5 + -1x Combine like terms: 5x + -1x = 4x -12 + 4x + x2 = -5 + x + 5 + -1x Reorder the terms: -12 + 4x + x2 = -5 + 5 + x + -1x Combine like terms: -5 + 5 = 0 -12 + 4x + x2 = 0 + x + -1x -12 + 4x + x2 = x + -1x Combine like terms: x + -1x = 0 -12 + 4x + x2 = 0 Factor a trinomial. (-6 + -1x)(2 + -1x) = 0Subproblem 1
Set the factor '(-6 + -1x)' equal to zero and attempt to solve: Simplifying -6 + -1x = 0 Solving -6 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '6' to each side of the equation. -6 + 6 + -1x = 0 + 6 Combine like terms: -6 + 6 = 0 0 + -1x = 0 + 6 -1x = 0 + 6 Combine like terms: 0 + 6 = 6 -1x = 6 Divide each side by '-1'. x = -6 Simplifying x = -6Subproblem 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 = {-6, 2}
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