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