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Simplifying x2 + x + 1 = -5x + -4 Reorder the terms: 1 + x + x2 = -5x + -4 Reorder the terms: 1 + x + x2 = -4 + -5x Solving 1 + x + x2 = -4 + -5x Solving for variable 'x'. Reorder the terms: 1 + 4 + x + 5x + x2 = -4 + -5x + 4 + 5x Combine like terms: 1 + 4 = 5 5 + x + 5x + x2 = -4 + -5x + 4 + 5x Combine like terms: x + 5x = 6x 5 + 6x + x2 = -4 + -5x + 4 + 5x Reorder the terms: 5 + 6x + x2 = -4 + 4 + -5x + 5x Combine like terms: -4 + 4 = 0 5 + 6x + x2 = 0 + -5x + 5x 5 + 6x + x2 = -5x + 5x Combine like terms: -5x + 5x = 0 5 + 6x + x2 = 0 Factor a trinomial. (5 + x)(1 + x) = 0Subproblem 1
Set the factor '(5 + x)' equal to zero and attempt to solve: Simplifying 5 + x = 0 Solving 5 + x = 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 + x = 0 + -5 Combine like terms: 5 + -5 = 0 0 + x = 0 + -5 x = 0 + -5 Combine like terms: 0 + -5 = -5 x = -5 Simplifying x = -5Subproblem 2
Set the factor '(1 + x)' equal to zero and attempt to solve: Simplifying 1 + x = 0 Solving 1 + x = 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 + x = 0 + -1 Combine like terms: 1 + -1 = 0 0 + x = 0 + -1 x = 0 + -1 Combine like terms: 0 + -1 = -1 x = -1 Simplifying x = -1Solution
x = {-5, -1}
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