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Simplifying 50k2 + 90k + 16 = 0 Reorder the terms: 16 + 90k + 50k2 = 0 Solving 16 + 90k + 50k2 = 0 Solving for variable 'k'. Factor out the Greatest Common Factor (GCF), '2'. 2(8 + 45k + 25k2) = 0 Factor a trinomial. 2((8 + 5k)(1 + 5k)) = 0 Ignore the factor 2.Subproblem 1
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 = -1.6Subproblem 2
Set the factor '(1 + 5k)' equal to zero and attempt to solve: Simplifying 1 + 5k = 0 Solving 1 + 5k = 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 + 5k = 0 + -1 Combine like terms: 1 + -1 = 0 0 + 5k = 0 + -1 5k = 0 + -1 Combine like terms: 0 + -1 = -1 5k = -1 Divide each side by '5'. k = -0.2 Simplifying k = -0.2Solution
k = {-1.6, -0.2}
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