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Simplifying x2 + x + 16 = -6x + 4 Reorder the terms: 16 + x + x2 = -6x + 4 Reorder the terms: 16 + x + x2 = 4 + -6x Solving 16 + x + x2 = 4 + -6x Solving for variable 'x'. Reorder the terms: 16 + -4 + x + 6x + x2 = 4 + -6x + -4 + 6x Combine like terms: 16 + -4 = 12 12 + x + 6x + x2 = 4 + -6x + -4 + 6x Combine like terms: x + 6x = 7x 12 + 7x + x2 = 4 + -6x + -4 + 6x Reorder the terms: 12 + 7x + x2 = 4 + -4 + -6x + 6x Combine like terms: 4 + -4 = 0 12 + 7x + x2 = 0 + -6x + 6x 12 + 7x + x2 = -6x + 6x Combine like terms: -6x + 6x = 0 12 + 7x + x2 = 0 Factor a trinomial. (4 + x)(3 + x) = 0Subproblem 1
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 = -4Subproblem 2
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 = -3Solution
x = {-4, -3}
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