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Simplifying 40 + -52k = 12k2 Solving 40 + -52k = 12k2 Solving for variable 'k'. Combine like terms: 12k2 + -12k2 = 0 40 + -52k + -12k2 = 0 Factor out the Greatest Common Factor (GCF), '4'. 4(10 + -13k + -3k2) = 0 Factor a trinomial. 4((2 + -3k)(5 + k)) = 0 Ignore the factor 4.Subproblem 1
Set the factor '(2 + -3k)' equal to zero and attempt to solve: Simplifying 2 + -3k = 0 Solving 2 + -3k = 0 Move all terms containing k to the left, all other terms to the right. Add '-2' to each side of the equation. 2 + -2 + -3k = 0 + -2 Combine like terms: 2 + -2 = 0 0 + -3k = 0 + -2 -3k = 0 + -2 Combine like terms: 0 + -2 = -2 -3k = -2 Divide each side by '-3'. k = 0.6666666667 Simplifying k = 0.6666666667Subproblem 2
Set the factor '(5 + k)' equal to zero and attempt to solve: Simplifying 5 + k = 0 Solving 5 + k = 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 + k = 0 + -5 Combine like terms: 5 + -5 = 0 0 + k = 0 + -5 k = 0 + -5 Combine like terms: 0 + -5 = -5 k = -5 Simplifying k = -5Solution
k = {0.6666666667, -5}
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