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Simplifying (x + 9)(x + 8) = 0 Reorder the terms: (9 + x)(x + 8) = 0 Reorder the terms: (9 + x)(8 + x) = 0 Multiply (9 + x) * (8 + x) (9(8 + x) + x(8 + x)) = 0 ((8 * 9 + x * 9) + x(8 + x)) = 0 ((72 + 9x) + x(8 + x)) = 0 (72 + 9x + (8 * x + x * x)) = 0 (72 + 9x + (8x + x2)) = 0 Combine like terms: 9x + 8x = 17x (72 + 17x + x2) = 0 Solving 72 + 17x + x2 = 0 Solving for variable 'x'. Factor a trinomial. (9 + x)(8 + 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 '(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 = -8Solution
x = {-9, -8}
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