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Simplifying (x + 8)(x + 18) = 0 Reorder the terms: (8 + x)(x + 18) = 0 Reorder the terms: (8 + x)(18 + x) = 0 Multiply (8 + x) * (18 + x) (8(18 + x) + x(18 + x)) = 0 ((18 * 8 + x * 8) + x(18 + x)) = 0 ((144 + 8x) + x(18 + x)) = 0 (144 + 8x + (18 * x + x * x)) = 0 (144 + 8x + (18x + x2)) = 0 Combine like terms: 8x + 18x = 26x (144 + 26x + x2) = 0 Solving 144 + 26x + x2 = 0 Solving for variable 'x'. Factor a trinomial. (18 + x)(8 + x) = 0Subproblem 1
Set the factor '(18 + x)' equal to zero and attempt to solve: Simplifying 18 + x = 0 Solving 18 + x = 0 Move all terms containing x to the left, all other terms to the right. Add '-18' to each side of the equation. 18 + -18 + x = 0 + -18 Combine like terms: 18 + -18 = 0 0 + x = 0 + -18 x = 0 + -18 Combine like terms: 0 + -18 = -18 x = -18 Simplifying x = -18Subproblem 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 = {-18, -8}
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