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Simplifying 15k2 + 45 = 84k Reorder the terms: 45 + 15k2 = 84k Solving 45 + 15k2 = 84k Solving for variable 'k'. Reorder the terms: 45 + -84k + 15k2 = 84k + -84k Combine like terms: 84k + -84k = 0 45 + -84k + 15k2 = 0 Factor out the Greatest Common Factor (GCF), '3'. 3(15 + -28k + 5k2) = 0 Factor a trinomial. 3((3 + -5k)(5 + -1k)) = 0 Ignore the factor 3.Subproblem 1
Set the factor '(3 + -5k)' equal to zero and attempt to solve: Simplifying 3 + -5k = 0 Solving 3 + -5k = 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 + -5k = 0 + -3 Combine like terms: 3 + -3 = 0 0 + -5k = 0 + -3 -5k = 0 + -3 Combine like terms: 0 + -3 = -3 -5k = -3 Divide each side by '-5'. k = 0.6 Simplifying k = 0.6Subproblem 2
Set the factor '(5 + -1k)' equal to zero and attempt to solve: Simplifying 5 + -1k = 0 Solving 5 + -1k = 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 + -1k = 0 + -5 Combine like terms: 5 + -5 = 0 0 + -1k = 0 + -5 -1k = 0 + -5 Combine like terms: 0 + -5 = -5 -1k = -5 Divide each side by '-1'. k = 5 Simplifying k = 5Solution
k = {0.6, 5}
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