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Simplifying 8k2 + 32k = 168 Reorder the terms: 32k + 8k2 = 168 Solving 32k + 8k2 = 168 Solving for variable 'k'. Reorder the terms: -168 + 32k + 8k2 = 168 + -168 Combine like terms: 168 + -168 = 0 -168 + 32k + 8k2 = 0 Factor out the Greatest Common Factor (GCF), '8'. 8(-21 + 4k + k2) = 0 Factor a trinomial. 8((-7 + -1k)(3 + -1k)) = 0 Ignore the factor 8.Subproblem 1
Set the factor '(-7 + -1k)' equal to zero and attempt to solve: Simplifying -7 + -1k = 0 Solving -7 + -1k = 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 + -1k = 0 + 7 Combine like terms: -7 + 7 = 0 0 + -1k = 0 + 7 -1k = 0 + 7 Combine like terms: 0 + 7 = 7 -1k = 7 Divide each side by '-1'. k = -7 Simplifying k = -7Subproblem 2
Set the factor '(3 + -1k)' equal to zero and attempt to solve: Simplifying 3 + -1k = 0 Solving 3 + -1k = 0 Move all terms containing k to the left, all other terms to the right. Add '-3' to each side of the equation. 3 + -3 + -1k = 0 + -3 Combine like terms: 3 + -3 = 0 0 + -1k = 0 + -3 -1k = 0 + -3 Combine like terms: 0 + -3 = -3 -1k = -3 Divide each side by '-1'. k = 3 Simplifying k = 3Solution
k = {-7, 3}
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