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Simplifying 14k2 + -30k = -16 Reorder the terms: -30k + 14k2 = -16 Solving -30k + 14k2 = -16 Solving for variable 'k'. Reorder the terms: 16 + -30k + 14k2 = -16 + 16 Combine like terms: -16 + 16 = 0 16 + -30k + 14k2 = 0 Factor out the Greatest Common Factor (GCF), '2'. 2(8 + -15k + 7k2) = 0 Factor a trinomial. 2((1 + -1k)(8 + -7k)) = 0 Ignore the factor 2.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 + -7k)' equal to zero and attempt to solve: Simplifying 8 + -7k = 0 Solving 8 + -7k = 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 + -7k = 0 + -8 Combine like terms: 8 + -8 = 0 0 + -7k = 0 + -8 -7k = 0 + -8 Combine like terms: 0 + -8 = -8 -7k = -8 Divide each side by '-7'. k = 1.142857143 Simplifying k = 1.142857143Solution
k = {1, 1.142857143}
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