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Simplifying (7k + -4)(6k + -1) = 0 Reorder the terms: (-4 + 7k)(6k + -1) = 0 Reorder the terms: (-4 + 7k)(-1 + 6k) = 0 Multiply (-4 + 7k) * (-1 + 6k) (-4(-1 + 6k) + 7k * (-1 + 6k)) = 0 ((-1 * -4 + 6k * -4) + 7k * (-1 + 6k)) = 0 ((4 + -24k) + 7k * (-1 + 6k)) = 0 (4 + -24k + (-1 * 7k + 6k * 7k)) = 0 (4 + -24k + (-7k + 42k2)) = 0 Combine like terms: -24k + -7k = -31k (4 + -31k + 42k2) = 0 Solving 4 + -31k + 42k2 = 0 Solving for variable 'k'. Factor a trinomial. (1 + -6k)(4 + -7k) = 0Subproblem 1
Set the factor '(1 + -6k)' equal to zero and attempt to solve: Simplifying 1 + -6k = 0 Solving 1 + -6k = 0 Move all terms containing k to the left, all other terms to the right. Add '-1' to each side of the equation. 1 + -1 + -6k = 0 + -1 Combine like terms: 1 + -1 = 0 0 + -6k = 0 + -1 -6k = 0 + -1 Combine like terms: 0 + -1 = -1 -6k = -1 Divide each side by '-6'. k = 0.1666666667 Simplifying k = 0.1666666667Subproblem 2
Set the factor '(4 + -7k)' equal to zero and attempt to solve: Simplifying 4 + -7k = 0 Solving 4 + -7k = 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 + -7k = 0 + -4 Combine like terms: 4 + -4 = 0 0 + -7k = 0 + -4 -7k = 0 + -4 Combine like terms: 0 + -4 = -4 -7k = -4 Divide each side by '-7'. k = 0.5714285714 Simplifying k = 0.5714285714Solution
k = {0.1666666667, 0.5714285714}
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