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Simplifying x2 + 11x + 7 = 8x + 5 Reorder the terms: 7 + 11x + x2 = 8x + 5 Reorder the terms: 7 + 11x + x2 = 5 + 8x Solving 7 + 11x + x2 = 5 + 8x Solving for variable 'x'. Reorder the terms: 7 + -5 + 11x + -8x + x2 = 5 + 8x + -5 + -8x Combine like terms: 7 + -5 = 2 2 + 11x + -8x + x2 = 5 + 8x + -5 + -8x Combine like terms: 11x + -8x = 3x 2 + 3x + x2 = 5 + 8x + -5 + -8x Reorder the terms: 2 + 3x + x2 = 5 + -5 + 8x + -8x Combine like terms: 5 + -5 = 0 2 + 3x + x2 = 0 + 8x + -8x 2 + 3x + x2 = 8x + -8x Combine like terms: 8x + -8x = 0 2 + 3x + x2 = 0 Factor a trinomial. (2 + x)(1 + x) = 0Subproblem 1
Set the factor '(2 + x)' equal to zero and attempt to solve: Simplifying 2 + x = 0 Solving 2 + x = 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 + x = 0 + -2 Combine like terms: 2 + -2 = 0 0 + x = 0 + -2 x = 0 + -2 Combine like terms: 0 + -2 = -2 x = -2 Simplifying x = -2Subproblem 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 = {-2, -1}
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