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Simplifying x2 + 4x + 22 = -6x + -2 Reorder the terms: 22 + 4x + x2 = -6x + -2 Reorder the terms: 22 + 4x + x2 = -2 + -6x Solving 22 + 4x + x2 = -2 + -6x Solving for variable 'x'. Reorder the terms: 22 + 2 + 4x + 6x + x2 = -2 + -6x + 2 + 6x Combine like terms: 22 + 2 = 24 24 + 4x + 6x + x2 = -2 + -6x + 2 + 6x Combine like terms: 4x + 6x = 10x 24 + 10x + x2 = -2 + -6x + 2 + 6x Reorder the terms: 24 + 10x + x2 = -2 + 2 + -6x + 6x Combine like terms: -2 + 2 = 0 24 + 10x + x2 = 0 + -6x + 6x 24 + 10x + x2 = -6x + 6x Combine like terms: -6x + 6x = 0 24 + 10x + x2 = 0 Factor a trinomial. (6 + x)(4 + x) = 0Subproblem 1
Set the factor '(6 + x)' equal to zero and attempt to solve: Simplifying 6 + x = 0 Solving 6 + x = 0 Move all terms containing x to the left, all other terms to the right. Add '-6' to each side of the equation. 6 + -6 + x = 0 + -6 Combine like terms: 6 + -6 = 0 0 + x = 0 + -6 x = 0 + -6 Combine like terms: 0 + -6 = -6 x = -6 Simplifying x = -6Subproblem 2
Set the factor '(4 + x)' equal to zero and attempt to solve: Simplifying 4 + x = 0 Solving 4 + x = 0 Move all terms containing x to the left, all other terms to the right. Add '-4' to each side of the equation. 4 + -4 + x = 0 + -4 Combine like terms: 4 + -4 = 0 0 + x = 0 + -4 x = 0 + -4 Combine like terms: 0 + -4 = -4 x = -4 Simplifying x = -4Solution
x = {-6, -4}
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