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Simplifying (x + 8)(x + 8) + 9(x + 8) + 8 = 0 Reorder the terms: (8 + x)(x + 8) + 9(x + 8) + 8 = 0 Reorder the terms: (8 + x)(8 + x) + 9(x + 8) + 8 = 0 Multiply (8 + x) * (8 + x) (8(8 + x) + x(8 + x)) + 9(x + 8) + 8 = 0 ((8 * 8 + x * 8) + x(8 + x)) + 9(x + 8) + 8 = 0 ((64 + 8x) + x(8 + x)) + 9(x + 8) + 8 = 0 (64 + 8x + (8 * x + x * x)) + 9(x + 8) + 8 = 0 (64 + 8x + (8x + x2)) + 9(x + 8) + 8 = 0 Combine like terms: 8x + 8x = 16x (64 + 16x + x2) + 9(x + 8) + 8 = 0 Reorder the terms: 64 + 16x + x2 + 9(8 + x) + 8 = 0 64 + 16x + x2 + (8 * 9 + x * 9) + 8 = 0 64 + 16x + x2 + (72 + 9x) + 8 = 0 Reorder the terms: 64 + 72 + 8 + 16x + 9x + x2 = 0 Combine like terms: 64 + 72 = 136 136 + 8 + 16x + 9x + x2 = 0 Combine like terms: 136 + 8 = 144 144 + 16x + 9x + x2 = 0 Combine like terms: 16x + 9x = 25x 144 + 25x + x2 = 0 Solving 144 + 25x + x2 = 0 Solving for variable 'x'. Factor a trinomial. (16 + x)(9 + x) = 0Subproblem 1
Set the factor '(16 + x)' equal to zero and attempt to solve: Simplifying 16 + x = 0 Solving 16 + x = 0 Move all terms containing x to the left, all other terms to the right. Add '-16' to each side of the equation. 16 + -16 + x = 0 + -16 Combine like terms: 16 + -16 = 0 0 + x = 0 + -16 x = 0 + -16 Combine like terms: 0 + -16 = -16 x = -16 Simplifying x = -16Subproblem 2
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 = -9Solution
x = {-16, -9}
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