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Simplifying (-7k + -2)(9k + -1) = 0 Reorder the terms: (-2 + -7k)(9k + -1) = 0 Reorder the terms: (-2 + -7k)(-1 + 9k) = 0 Multiply (-2 + -7k) * (-1 + 9k) (-2(-1 + 9k) + -7k * (-1 + 9k)) = 0 ((-1 * -2 + 9k * -2) + -7k * (-1 + 9k)) = 0 ((2 + -18k) + -7k * (-1 + 9k)) = 0 (2 + -18k + (-1 * -7k + 9k * -7k)) = 0 (2 + -18k + (7k + -63k2)) = 0 Combine like terms: -18k + 7k = -11k (2 + -11k + -63k2) = 0 Solving 2 + -11k + -63k2 = 0 Solving for variable 'k'. Factor a trinomial. (1 + -9k)(2 + 7k) = 0Subproblem 1
Set the factor '(1 + -9k)' equal to zero and attempt to solve: Simplifying 1 + -9k = 0 Solving 1 + -9k = 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 + -9k = 0 + -1 Combine like terms: 1 + -1 = 0 0 + -9k = 0 + -1 -9k = 0 + -1 Combine like terms: 0 + -1 = -1 -9k = -1 Divide each side by '-9'. k = 0.1111111111 Simplifying k = 0.1111111111Subproblem 2
Set the factor '(2 + 7k)' equal to zero and attempt to solve: Simplifying 2 + 7k = 0 Solving 2 + 7k = 0 Move all terms containing k to the left, all other terms to the right. Add '-2' to each side of the equation. 2 + -2 + 7k = 0 + -2 Combine like terms: 2 + -2 = 0 0 + 7k = 0 + -2 7k = 0 + -2 Combine like terms: 0 + -2 = -2 7k = -2 Divide each side by '7'. k = -0.2857142857 Simplifying k = -0.2857142857Solution
k = {0.1111111111, -0.2857142857}
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