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Simplifying (x + 8)(x + 8) = 25 Reorder the terms: (8 + x)(x + 8) = 25 Reorder the terms: (8 + x)(8 + x) = 25 Multiply (8 + x) * (8 + x) (8(8 + x) + x(8 + x)) = 25 ((8 * 8 + x * 8) + x(8 + x)) = 25 ((64 + 8x) + x(8 + x)) = 25 (64 + 8x + (8 * x + x * x)) = 25 (64 + 8x + (8x + x2)) = 25 Combine like terms: 8x + 8x = 16x (64 + 16x + x2) = 25 Solving 64 + 16x + x2 = 25 Solving for variable 'x'. Reorder the terms: 64 + -25 + 16x + x2 = 25 + -25 Combine like terms: 64 + -25 = 39 39 + 16x + x2 = 25 + -25 Combine like terms: 25 + -25 = 0 39 + 16x + x2 = 0 Factor a trinomial. (13 + x)(3 + x) = 0Subproblem 1
Set the factor '(13 + x)' equal to zero and attempt to solve: Simplifying 13 + x = 0 Solving 13 + x = 0 Move all terms containing x to the left, all other terms to the right. Add '-13' to each side of the equation. 13 + -13 + x = 0 + -13 Combine like terms: 13 + -13 = 0 0 + x = 0 + -13 x = 0 + -13 Combine like terms: 0 + -13 = -13 x = -13 Simplifying x = -13Subproblem 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 = {-13, -3}
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