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Simplifying (5k + -6)(k + -4) = 0 Reorder the terms: (-6 + 5k)(k + -4) = 0 Reorder the terms: (-6 + 5k)(-4 + k) = 0 Multiply (-6 + 5k) * (-4 + k) (-6(-4 + k) + 5k * (-4 + k)) = 0 ((-4 * -6 + k * -6) + 5k * (-4 + k)) = 0 ((24 + -6k) + 5k * (-4 + k)) = 0 (24 + -6k + (-4 * 5k + k * 5k)) = 0 (24 + -6k + (-20k + 5k2)) = 0 Combine like terms: -6k + -20k = -26k (24 + -26k + 5k2) = 0 Solving 24 + -26k + 5k2 = 0 Solving for variable 'k'. Factor a trinomial. (6 + -5k)(4 + -1k) = 0Subproblem 1
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 = 1.2Subproblem 2
Set the factor '(4 + -1k)' equal to zero and attempt to solve: Simplifying 4 + -1k = 0 Solving 4 + -1k = 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 + -1k = 0 + -4 Combine like terms: 4 + -4 = 0 0 + -1k = 0 + -4 -1k = 0 + -4 Combine like terms: 0 + -4 = -4 -1k = -4 Divide each side by '-1'. k = 4 Simplifying k = 4Solution
k = {1.2, 4}
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