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Simplifying (5k + -4)(k + 3) = 0 Reorder the terms: (-4 + 5k)(k + 3) = 0 Reorder the terms: (-4 + 5k)(3 + k) = 0 Multiply (-4 + 5k) * (3 + k) (-4(3 + k) + 5k * (3 + k)) = 0 ((3 * -4 + k * -4) + 5k * (3 + k)) = 0 ((-12 + -4k) + 5k * (3 + k)) = 0 (-12 + -4k + (3 * 5k + k * 5k)) = 0 (-12 + -4k + (15k + 5k2)) = 0 Combine like terms: -4k + 15k = 11k (-12 + 11k + 5k2) = 0 Solving -12 + 11k + 5k2 = 0 Solving for variable 'k'. Factor a trinomial. (-3 + -1k)(4 + -5k) = 0Subproblem 1
Set the factor '(-3 + -1k)' equal to zero and attempt to solve: Simplifying -3 + -1k = 0 Solving -3 + -1k = 0 Move all terms containing k to the left, all other terms to the right. Add '3' to each side of the equation. -3 + 3 + -1k = 0 + 3 Combine like terms: -3 + 3 = 0 0 + -1k = 0 + 3 -1k = 0 + 3 Combine like terms: 0 + 3 = 3 -1k = 3 Divide each side by '-1'. k = -3 Simplifying k = -3Subproblem 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 = {-3, 0.8}
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