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Simplifying 5k2 + -85k = -350 Reorder the terms: -85k + 5k2 = -350 Solving -85k + 5k2 = -350 Solving for variable 'k'. Reorder the terms: 350 + -85k + 5k2 = -350 + 350 Combine like terms: -350 + 350 = 0 350 + -85k + 5k2 = 0 Factor out the Greatest Common Factor (GCF), '5'. 5(70 + -17k + k2) = 0 Factor a trinomial. 5((7 + -1k)(10 + -1k)) = 0 Ignore the factor 5.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 '(10 + -1k)' equal to zero and attempt to solve: Simplifying 10 + -1k = 0 Solving 10 + -1k = 0 Move all terms containing k to the left, all other terms to the right. Add '-10' to each side of the equation. 10 + -10 + -1k = 0 + -10 Combine like terms: 10 + -10 = 0 0 + -1k = 0 + -10 -1k = 0 + -10 Combine like terms: 0 + -10 = -10 -1k = -10 Divide each side by '-1'. k = 10 Simplifying k = 10Solution
k = {7, 10}
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