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Simplifying (x + 5)(x + 18) = 0 Reorder the terms: (5 + x)(x + 18) = 0 Reorder the terms: (5 + x)(18 + x) = 0 Multiply (5 + x) * (18 + x) (5(18 + x) + x(18 + x)) = 0 ((18 * 5 + x * 5) + x(18 + x)) = 0 ((90 + 5x) + x(18 + x)) = 0 (90 + 5x + (18 * x + x * x)) = 0 (90 + 5x + (18x + x2)) = 0 Combine like terms: 5x + 18x = 23x (90 + 23x + x2) = 0 Solving 90 + 23x + x2 = 0 Solving for variable 'x'. Factor a trinomial. (18 + x)(5 + 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 '(5 + x)' equal to zero and attempt to solve: Simplifying 5 + x = 0 Solving 5 + x = 0 Move all terms containing x to the left, all other terms to the right. Add '-5' to each side of the equation. 5 + -5 + x = 0 + -5 Combine like terms: 5 + -5 = 0 0 + x = 0 + -5 x = 0 + -5 Combine like terms: 0 + -5 = -5 x = -5 Simplifying x = -5Solution
x = {-18, -5}
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