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Simplifying (6k + -8)(-5k + -6) = 0 Reorder the terms: (-8 + 6k)(-5k + -6) = 0 Reorder the terms: (-8 + 6k)(-6 + -5k) = 0 Multiply (-8 + 6k) * (-6 + -5k) (-8(-6 + -5k) + 6k * (-6 + -5k)) = 0 ((-6 * -8 + -5k * -8) + 6k * (-6 + -5k)) = 0 ((48 + 40k) + 6k * (-6 + -5k)) = 0 (48 + 40k + (-6 * 6k + -5k * 6k)) = 0 (48 + 40k + (-36k + -30k2)) = 0 Combine like terms: 40k + -36k = 4k (48 + 4k + -30k2) = 0 Solving 48 + 4k + -30k2 = 0 Solving for variable 'k'. Factor out the Greatest Common Factor (GCF), '2'. 2(24 + 2k + -15k2) = 0 Factor a trinomial. 2((4 + -3k)(6 + 5k)) = 0 Ignore the factor 2.Subproblem 1
Set the factor '(4 + -3k)' equal to zero and attempt to solve: Simplifying 4 + -3k = 0 Solving 4 + -3k = 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 + -3k = 0 + -4 Combine like terms: 4 + -4 = 0 0 + -3k = 0 + -4 -3k = 0 + -4 Combine like terms: 0 + -4 = -4 -3k = -4 Divide each side by '-3'. k = 1.333333333 Simplifying k = 1.333333333Subproblem 2
Set the factor '(6 + 5k)' equal to zero and attempt to solve: Simplifying 6 + 5k = 0 Solving 6 + 5k = 0 Move all terms containing k to the left, all other terms to the right. Add '-6' to each side of the equation. 6 + -6 + 5k = 0 + -6 Combine like terms: 6 + -6 = 0 0 + 5k = 0 + -6 5k = 0 + -6 Combine like terms: 0 + -6 = -6 5k = -6 Divide each side by '5'. k = -1.2 Simplifying k = -1.2Solution
k = {1.333333333, -1.2}
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