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Simplifying 35k2 + -91k + 62 = 6 Reorder the terms: 62 + -91k + 35k2 = 6 Solving 62 + -91k + 35k2 = 6 Solving for variable 'k'. Reorder the terms: 62 + -6 + -91k + 35k2 = 6 + -6 Combine like terms: 62 + -6 = 56 56 + -91k + 35k2 = 6 + -6 Combine like terms: 6 + -6 = 0 56 + -91k + 35k2 = 0 Factor out the Greatest Common Factor (GCF), '7'. 7(8 + -13k + 5k2) = 0 Factor a trinomial. 7((1 + -1k)(8 + -5k)) = 0 Ignore the factor 7.Subproblem 1
Set the factor '(1 + -1k)' equal to zero and attempt to solve: Simplifying 1 + -1k = 0 Solving 1 + -1k = 0 Move all terms containing k to the left, all other terms to the right. Add '-1' to each side of the equation. 1 + -1 + -1k = 0 + -1 Combine like terms: 1 + -1 = 0 0 + -1k = 0 + -1 -1k = 0 + -1 Combine like terms: 0 + -1 = -1 -1k = -1 Divide each side by '-1'. k = 1 Simplifying k = 1Subproblem 2
Set the factor '(8 + -5k)' equal to zero and attempt to solve: Simplifying 8 + -5k = 0 Solving 8 + -5k = 0 Move all terms containing k to the left, all other terms to the right. Add '-8' to each side of the equation. 8 + -8 + -5k = 0 + -8 Combine like terms: 8 + -8 = 0 0 + -5k = 0 + -8 -5k = 0 + -8 Combine like terms: 0 + -8 = -8 -5k = -8 Divide each side by '-5'. k = 1.6 Simplifying k = 1.6Solution
k = {1, 1.6}
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