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Simplifying x2 + -1x + 1 = 3x + 6 Reorder the terms: 1 + -1x + x2 = 3x + 6 Reorder the terms: 1 + -1x + x2 = 6 + 3x Solving 1 + -1x + x2 = 6 + 3x Solving for variable 'x'. Reorder the terms: 1 + -6 + -1x + -3x + x2 = 6 + 3x + -6 + -3x Combine like terms: 1 + -6 = -5 -5 + -1x + -3x + x2 = 6 + 3x + -6 + -3x Combine like terms: -1x + -3x = -4x -5 + -4x + x2 = 6 + 3x + -6 + -3x Reorder the terms: -5 + -4x + x2 = 6 + -6 + 3x + -3x Combine like terms: 6 + -6 = 0 -5 + -4x + x2 = 0 + 3x + -3x -5 + -4x + x2 = 3x + -3x Combine like terms: 3x + -3x = 0 -5 + -4x + x2 = 0 Factor a trinomial. (-1 + -1x)(5 + -1x) = 0Subproblem 1
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 = -1Subproblem 2
Set the factor '(5 + -1x)' equal to zero and attempt to solve: Simplifying 5 + -1x = 0 Solving 5 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '-5' to each side of the equation. 5 + -5 + -1x = 0 + -5 Combine like terms: 5 + -5 = 0 0 + -1x = 0 + -5 -1x = 0 + -5 Combine like terms: 0 + -5 = -5 -1x = -5 Divide each side by '-1'. x = 5 Simplifying x = 5Solution
x = {-1, 5}
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