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Simplifying (x + 5)(x + 12) = 0 Reorder the terms: (5 + x)(x + 12) = 0 Reorder the terms: (5 + x)(12 + x) = 0 Multiply (5 + x) * (12 + x) (5(12 + x) + x(12 + x)) = 0 ((12 * 5 + x * 5) + x(12 + x)) = 0 ((60 + 5x) + x(12 + x)) = 0 (60 + 5x + (12 * x + x * x)) = 0 (60 + 5x + (12x + x2)) = 0 Combine like terms: 5x + 12x = 17x (60 + 17x + x2) = 0 Solving 60 + 17x + x2 = 0 Solving for variable 'x'. Factor a trinomial. (12 + x)(5 + x) = 0Subproblem 1
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 = -12Subproblem 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 = {-12, -5}
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