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Simplifying (8k + -7)(2k + -3) = 0 Reorder the terms: (-7 + 8k)(2k + -3) = 0 Reorder the terms: (-7 + 8k)(-3 + 2k) = 0 Multiply (-7 + 8k) * (-3 + 2k) (-7(-3 + 2k) + 8k * (-3 + 2k)) = 0 ((-3 * -7 + 2k * -7) + 8k * (-3 + 2k)) = 0 ((21 + -14k) + 8k * (-3 + 2k)) = 0 (21 + -14k + (-3 * 8k + 2k * 8k)) = 0 (21 + -14k + (-24k + 16k2)) = 0 Combine like terms: -14k + -24k = -38k (21 + -38k + 16k2) = 0 Solving 21 + -38k + 16k2 = 0 Solving for variable 'k'. Factor a trinomial. (7 + -8k)(3 + -2k) = 0Subproblem 1
Set the factor '(7 + -8k)' equal to zero and attempt to solve: Simplifying 7 + -8k = 0 Solving 7 + -8k = 0 Move all terms containing k to the left, all other terms to the right. Add '-7' to each side of the equation. 7 + -7 + -8k = 0 + -7 Combine like terms: 7 + -7 = 0 0 + -8k = 0 + -7 -8k = 0 + -7 Combine like terms: 0 + -7 = -7 -8k = -7 Divide each side by '-8'. k = 0.875 Simplifying k = 0.875Subproblem 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 = {0.875, 1.5}
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