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