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Simplifying (2 + x)(x + 8) = 0 Reorder the terms: (2 + x)(8 + x) = 0 Multiply (2 + x) * (8 + x) (2(8 + x) + x(8 + x)) = 0 ((8 * 2 + x * 2) + x(8 + x)) = 0 ((16 + 2x) + x(8 + x)) = 0 (16 + 2x + (8 * x + x * x)) = 0 (16 + 2x + (8x + x2)) = 0 Combine like terms: 2x + 8x = 10x (16 + 10x + x2) = 0 Solving 16 + 10x + x2 = 0 Solving for variable 'x'. Factor a trinomial. (8 + x)(2 + x) = 0Subproblem 1
Set the factor '(8 + x)' equal to zero and attempt to solve: Simplifying 8 + x = 0 Solving 8 + x = 0 Move all terms containing x to the left, all other terms to the right. Add '-8' to each side of the equation. 8 + -8 + x = 0 + -8 Combine like terms: 8 + -8 = 0 0 + x = 0 + -8 x = 0 + -8 Combine like terms: 0 + -8 = -8 x = -8 Simplifying x = -8Subproblem 2
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 = -2Solution
x = {-8, -2}
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