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Simplifying (x + 15)(x + 12) = 0 Reorder the terms: (15 + x)(x + 12) = 0 Reorder the terms: (15 + x)(12 + x) = 0 Multiply (15 + x) * (12 + x) (15(12 + x) + x(12 + x)) = 0 ((12 * 15 + x * 15) + x(12 + x)) = 0 ((180 + 15x) + x(12 + x)) = 0 (180 + 15x + (12 * x + x * x)) = 0 (180 + 15x + (12x + x2)) = 0 Combine like terms: 15x + 12x = 27x (180 + 27x + x2) = 0 Solving 180 + 27x + x2 = 0 Solving for variable 'x'. Factor a trinomial. (15 + x)(12 + x) = 0Subproblem 1
Set the factor '(15 + x)' equal to zero and attempt to solve: Simplifying 15 + x = 0 Solving 15 + x = 0 Move all terms containing x to the left, all other terms to the right. Add '-15' to each side of the equation. 15 + -15 + x = 0 + -15 Combine like terms: 15 + -15 = 0 0 + x = 0 + -15 x = 0 + -15 Combine like terms: 0 + -15 = -15 x = -15 Simplifying x = -15Subproblem 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 = {-15, -12}
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