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Simplifying (x + 18)(x + 12) = 0 Reorder the terms: (18 + x)(x + 12) = 0 Reorder the terms: (18 + x)(12 + x) = 0 Multiply (18 + x) * (12 + x) (18(12 + x) + x(12 + x)) = 0 ((12 * 18 + x * 18) + x(12 + x)) = 0 ((216 + 18x) + x(12 + x)) = 0 (216 + 18x + (12 * x + x * x)) = 0 (216 + 18x + (12x + x2)) = 0 Combine like terms: 18x + 12x = 30x (216 + 30x + x2) = 0 Solving 216 + 30x + x2 = 0 Solving for variable 'x'. Factor a trinomial. (18 + x)(12 + 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 '(12 + x)' equal to zero and attempt to solve: Simplifying 12 + x = 0 Solving 12 + x = 0 Move all terms containing x to the left, all other terms to the right. Add '-12' to each side of the equation. 12 + -12 + x = 0 + -12 Combine like terms: 12 + -12 = 0 0 + x = 0 + -12 x = 0 + -12 Combine like terms: 0 + -12 = -12 x = -12 Simplifying x = -12Solution
x = {-18, -12}
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