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Simplifying (k + 12)(k + 10) = 0 Reorder the terms: (12 + k)(k + 10) = 0 Reorder the terms: (12 + k)(10 + k) = 0 Multiply (12 + k) * (10 + k) (12(10 + k) + k(10 + k)) = 0 ((10 * 12 + k * 12) + k(10 + k)) = 0 ((120 + 12k) + k(10 + k)) = 0 (120 + 12k + (10 * k + k * k)) = 0 (120 + 12k + (10k + k2)) = 0 Combine like terms: 12k + 10k = 22k (120 + 22k + k2) = 0 Solving 120 + 22k + k2 = 0 Solving for variable 'k'. Factor a trinomial. (12 + k)(10 + k) = 0Subproblem 1
Set the factor '(12 + k)' equal to zero and attempt to solve: Simplifying 12 + k = 0 Solving 12 + k = 0 Move all terms containing k to the left, all other terms to the right. Add '-12' to each side of the equation. 12 + -12 + k = 0 + -12 Combine like terms: 12 + -12 = 0 0 + k = 0 + -12 k = 0 + -12 Combine like terms: 0 + -12 = -12 k = -12 Simplifying k = -12Subproblem 2
Set the factor '(10 + k)' equal to zero and attempt to solve: Simplifying 10 + k = 0 Solving 10 + k = 0 Move all terms containing k to the left, all other terms to the right. Add '-10' to each side of the equation. 10 + -10 + k = 0 + -10 Combine like terms: 10 + -10 = 0 0 + k = 0 + -10 k = 0 + -10 Combine like terms: 0 + -10 = -10 k = -10 Simplifying k = -10Solution
k = {-12, -10}
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