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Simplifying (x + 4)(x + 8) = 5 Reorder the terms: (4 + x)(x + 8) = 5 Reorder the terms: (4 + x)(8 + x) = 5 Multiply (4 + x) * (8 + x) (4(8 + x) + x(8 + x)) = 5 ((8 * 4 + x * 4) + x(8 + x)) = 5 ((32 + 4x) + x(8 + x)) = 5 (32 + 4x + (8 * x + x * x)) = 5 (32 + 4x + (8x + x2)) = 5 Combine like terms: 4x + 8x = 12x (32 + 12x + x2) = 5 Solving 32 + 12x + x2 = 5 Solving for variable 'x'. Reorder the terms: 32 + -5 + 12x + x2 = 5 + -5 Combine like terms: 32 + -5 = 27 27 + 12x + x2 = 5 + -5 Combine like terms: 5 + -5 = 0 27 + 12x + x2 = 0 Factor a trinomial. (9 + x)(3 + x) = 0Subproblem 1
Set the factor '(9 + x)' equal to zero and attempt to solve: Simplifying 9 + x = 0 Solving 9 + x = 0 Move all terms containing x to the left, all other terms to the right. Add '-9' to each side of the equation. 9 + -9 + x = 0 + -9 Combine like terms: 9 + -9 = 0 0 + x = 0 + -9 x = 0 + -9 Combine like terms: 0 + -9 = -9 x = -9 Simplifying x = -9Subproblem 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 = {-9, -3}
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