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Simplifying 16k2 + 122k = -70 Reorder the terms: 122k + 16k2 = -70 Solving 122k + 16k2 = -70 Solving for variable 'k'. Reorder the terms: 70 + 122k + 16k2 = -70 + 70 Combine like terms: -70 + 70 = 0 70 + 122k + 16k2 = 0 Factor out the Greatest Common Factor (GCF), '2'. 2(35 + 61k + 8k2) = 0 Factor a trinomial. 2((7 + k)(5 + 8k)) = 0 Ignore the factor 2.Subproblem 1
Set the factor '(7 + k)' equal to zero and attempt to solve: Simplifying 7 + k = 0 Solving 7 + k = 0 Move all terms containing k to the left, all other terms to the right. Add '-7' to each side of the equation. 7 + -7 + k = 0 + -7 Combine like terms: 7 + -7 = 0 0 + k = 0 + -7 k = 0 + -7 Combine like terms: 0 + -7 = -7 k = -7 Simplifying k = -7Subproblem 2
Set the factor '(5 + 8k)' equal to zero and attempt to solve: Simplifying 5 + 8k = 0 Solving 5 + 8k = 0 Move all terms containing k to the left, all other terms to the right. Add '-5' to each side of the equation. 5 + -5 + 8k = 0 + -5 Combine like terms: 5 + -5 = 0 0 + 8k = 0 + -5 8k = 0 + -5 Combine like terms: 0 + -5 = -5 8k = -5 Divide each side by '8'. k = -0.625 Simplifying k = -0.625Solution
k = {-7, -0.625}
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