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Simplifying x + 5 + x2 + x + -20 = -7 Reorder the terms: 5 + -20 + x + x + x2 = -7 Combine like terms: 5 + -20 = -15 -15 + x + x + x2 = -7 Combine like terms: x + x = 2x -15 + 2x + x2 = -7 Solving -15 + 2x + x2 = -7 Solving for variable 'x'. Reorder the terms: -15 + 7 + 2x + x2 = -7 + 7 Combine like terms: -15 + 7 = -8 -8 + 2x + x2 = -7 + 7 Combine like terms: -7 + 7 = 0 -8 + 2x + x2 = 0 Factor a trinomial. (-4 + -1x)(2 + -1x) = 0Subproblem 1
Set the factor '(-4 + -1x)' equal to zero and attempt to solve: Simplifying -4 + -1x = 0 Solving -4 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '4' to each side of the equation. -4 + 4 + -1x = 0 + 4 Combine like terms: -4 + 4 = 0 0 + -1x = 0 + 4 -1x = 0 + 4 Combine like terms: 0 + 4 = 4 -1x = 4 Divide each side by '-1'. x = -4 Simplifying x = -4Subproblem 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 = {-4, 2}
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