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Simplifying 15k2 + -40k = 80 Reorder the terms: -40k + 15k2 = 80 Solving -40k + 15k2 = 80 Solving for variable 'k'. Reorder the terms: -80 + -40k + 15k2 = 80 + -80 Combine like terms: 80 + -80 = 0 -80 + -40k + 15k2 = 0 Factor out the Greatest Common Factor (GCF), '5'. 5(-16 + -8k + 3k2) = 0 Factor a trinomial. 5((-4 + -3k)(4 + -1k)) = 0 Ignore the factor 5.Subproblem 1
Set the factor '(-4 + -3k)' equal to zero and attempt to solve: Simplifying -4 + -3k = 0 Solving -4 + -3k = 0 Move all terms containing k to the left, all other terms to the right. Add '4' to each side of the equation. -4 + 4 + -3k = 0 + 4 Combine like terms: -4 + 4 = 0 0 + -3k = 0 + 4 -3k = 0 + 4 Combine like terms: 0 + 4 = 4 -3k = 4 Divide each side by '-3'. k = -1.333333333 Simplifying k = -1.333333333Subproblem 2
Set the factor '(4 + -1k)' equal to zero and attempt to solve: Simplifying 4 + -1k = 0 Solving 4 + -1k = 0 Move all terms containing k to the left, all other terms to the right. Add '-4' to each side of the equation. 4 + -4 + -1k = 0 + -4 Combine like terms: 4 + -4 = 0 0 + -1k = 0 + -4 -1k = 0 + -4 Combine like terms: 0 + -4 = -4 -1k = -4 Divide each side by '-1'. k = 4 Simplifying k = 4Solution
k = {-1.333333333, 4}
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