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Simplifying (x + 9)(x + 18) = 0 Reorder the terms: (9 + x)(x + 18) = 0 Reorder the terms: (9 + x)(18 + x) = 0 Multiply (9 + x) * (18 + x) (9(18 + x) + x(18 + x)) = 0 ((18 * 9 + x * 9) + x(18 + x)) = 0 ((162 + 9x) + x(18 + x)) = 0 (162 + 9x + (18 * x + x * x)) = 0 (162 + 9x + (18x + x2)) = 0 Combine like terms: 9x + 18x = 27x (162 + 27x + x2) = 0 Solving 162 + 27x + x2 = 0 Solving for variable 'x'. Factor a trinomial. (18 + x)(9 + 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 '(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 = {-18, -9}
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