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Simplifying 63k2 + 87k = 30 Reorder the terms: 87k + 63k2 = 30 Solving 87k + 63k2 = 30 Solving for variable 'k'. Reorder the terms: -30 + 87k + 63k2 = 30 + -30 Combine like terms: 30 + -30 = 0 -30 + 87k + 63k2 = 0 Factor out the Greatest Common Factor (GCF), '3'. 3(-10 + 29k + 21k2) = 0 Factor a trinomial. 3((-5 + -3k)(2 + -7k)) = 0 Ignore the factor 3.Subproblem 1
Set the factor '(-5 + -3k)' equal to zero and attempt to solve: Simplifying -5 + -3k = 0 Solving -5 + -3k = 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 + -3k = 0 + 5 Combine like terms: -5 + 5 = 0 0 + -3k = 0 + 5 -3k = 0 + 5 Combine like terms: 0 + 5 = 5 -3k = 5 Divide each side by '-3'. k = -1.666666667 Simplifying k = -1.666666667Subproblem 2
Set the factor '(2 + -7k)' equal to zero and attempt to solve: Simplifying 2 + -7k = 0 Solving 2 + -7k = 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 + -7k = 0 + -2 Combine like terms: 2 + -2 = 0 0 + -7k = 0 + -2 -7k = 0 + -2 Combine like terms: 0 + -2 = -2 -7k = -2 Divide each side by '-7'. k = 0.2857142857 Simplifying k = 0.2857142857Solution
k = {-1.666666667, 0.2857142857}
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