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Simplifying 70k + -85k2 + -60k3 = 0 Solving 70k + -85k2 + -60k3 = 0 Solving for variable 'k'. Factor out the Greatest Common Factor (GCF), '5k'. 5k(14 + -17k + -12k2) = 0 Factor a trinomial. 5k((7 + -12k)(2 + k)) = 0 Ignore the factor 5.Subproblem 1
Set the factor 'k' equal to zero and attempt to solve: Simplifying k = 0 Solving k = 0 Move all terms containing k to the left, all other terms to the right. Simplifying k = 0Subproblem 2
Set the factor '(7 + -12k)' equal to zero and attempt to solve: Simplifying 7 + -12k = 0 Solving 7 + -12k = 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 + -12k = 0 + -7 Combine like terms: 7 + -7 = 0 0 + -12k = 0 + -7 -12k = 0 + -7 Combine like terms: 0 + -7 = -7 -12k = -7 Divide each side by '-12'. k = 0.5833333333 Simplifying k = 0.5833333333Subproblem 3
Set the factor '(2 + k)' equal to zero and attempt to solve: Simplifying 2 + k = 0 Solving 2 + k = 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 + k = 0 + -2 Combine like terms: 2 + -2 = 0 0 + k = 0 + -2 k = 0 + -2 Combine like terms: 0 + -2 = -2 k = -2 Simplifying k = -2Solution
k = {0, 0.5833333333, -2}
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