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Simplifying x2 + 5x + 6 = 2x + 4 Reorder the terms: 6 + 5x + x2 = 2x + 4 Reorder the terms: 6 + 5x + x2 = 4 + 2x Solving 6 + 5x + x2 = 4 + 2x Solving for variable 'x'. Reorder the terms: 6 + -4 + 5x + -2x + x2 = 4 + 2x + -4 + -2x Combine like terms: 6 + -4 = 2 2 + 5x + -2x + x2 = 4 + 2x + -4 + -2x Combine like terms: 5x + -2x = 3x 2 + 3x + x2 = 4 + 2x + -4 + -2x Reorder the terms: 2 + 3x + x2 = 4 + -4 + 2x + -2x Combine like terms: 4 + -4 = 0 2 + 3x + x2 = 0 + 2x + -2x 2 + 3x + x2 = 2x + -2x Combine like terms: 2x + -2x = 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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