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Simplifying (3k + -4)(2k + -3) = 0 Reorder the terms: (-4 + 3k)(2k + -3) = 0 Reorder the terms: (-4 + 3k)(-3 + 2k) = 0 Multiply (-4 + 3k) * (-3 + 2k) (-4(-3 + 2k) + 3k * (-3 + 2k)) = 0 ((-3 * -4 + 2k * -4) + 3k * (-3 + 2k)) = 0 ((12 + -8k) + 3k * (-3 + 2k)) = 0 (12 + -8k + (-3 * 3k + 2k * 3k)) = 0 (12 + -8k + (-9k + 6k2)) = 0 Combine like terms: -8k + -9k = -17k (12 + -17k + 6k2) = 0 Solving 12 + -17k + 6k2 = 0 Solving for variable 'k'. Factor a trinomial. (4 + -3k)(3 + -2k) = 0Subproblem 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 '(3 + -2k)' equal to zero and attempt to solve: Simplifying 3 + -2k = 0 Solving 3 + -2k = 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 + -2k = 0 + -3 Combine like terms: 3 + -3 = 0 0 + -2k = 0 + -3 -2k = 0 + -3 Combine like terms: 0 + -3 = -3 -2k = -3 Divide each side by '-2'. k = 1.5 Simplifying k = 1.5Solution
k = {1.333333333, 1.5}
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