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Simplifying 100k2 + 160k + 64 = 0 Reorder the terms: 64 + 160k + 100k2 = 0 Solving 64 + 160k + 100k2 = 0 Solving for variable 'k'. Factor out the Greatest Common Factor (GCF), '4'. 4(16 + 40k + 25k2) = 0 Factor a trinomial. 4((4 + 5k)(4 + 5k)) = 0 Ignore the factor 4.Subproblem 1
Set the factor '(4 + 5k)' equal to zero and attempt to solve: Simplifying 4 + 5k = 0 Solving 4 + 5k = 0 Move all terms containing k to the left, all other terms to the right. Add '-4' to each side of the equation. 4 + -4 + 5k = 0 + -4 Combine like terms: 4 + -4 = 0 0 + 5k = 0 + -4 5k = 0 + -4 Combine like terms: 0 + -4 = -4 5k = -4 Divide each side by '5'. k = -0.8 Simplifying k = -0.8Subproblem 2
Set the factor '(4 + 5k)' equal to zero and attempt to solve: Simplifying 4 + 5k = 0 Solving 4 + 5k = 0 Move all terms containing k to the left, all other terms to the right. Add '-4' to each side of the equation. 4 + -4 + 5k = 0 + -4 Combine like terms: 4 + -4 = 0 0 + 5k = 0 + -4 5k = 0 + -4 Combine like terms: 0 + -4 = -4 5k = -4 Divide each side by '5'. k = -0.8 Simplifying k = -0.8Solution
k = {-0.8, -0.8}
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