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Simplifying (-3k + -2)(-3k + -2) = 0 Reorder the terms: (-2 + -3k)(-3k + -2) = 0 Reorder the terms: (-2 + -3k)(-2 + -3k) = 0 Multiply (-2 + -3k) * (-2 + -3k) (-2(-2 + -3k) + -3k * (-2 + -3k)) = 0 ((-2 * -2 + -3k * -2) + -3k * (-2 + -3k)) = 0 ((4 + 6k) + -3k * (-2 + -3k)) = 0 (4 + 6k + (-2 * -3k + -3k * -3k)) = 0 (4 + 6k + (6k + 9k2)) = 0 Combine like terms: 6k + 6k = 12k (4 + 12k + 9k2) = 0 Solving 4 + 12k + 9k2 = 0 Solving for variable 'k'. Factor a trinomial. (2 + 3k)(2 + 3k) = 0Subproblem 1
Set the factor '(2 + 3k)' equal to zero and attempt to solve: Simplifying 2 + 3k = 0 Solving 2 + 3k = 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 + 3k = 0 + -2 Combine like terms: 2 + -2 = 0 0 + 3k = 0 + -2 3k = 0 + -2 Combine like terms: 0 + -2 = -2 3k = -2 Divide each side by '3'. k = -0.6666666667 Simplifying k = -0.6666666667Subproblem 2
Set the factor '(2 + 3k)' equal to zero and attempt to solve: Simplifying 2 + 3k = 0 Solving 2 + 3k = 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 + 3k = 0 + -2 Combine like terms: 2 + -2 = 0 0 + 3k = 0 + -2 3k = 0 + -2 Combine like terms: 0 + -2 = -2 3k = -2 Divide each side by '3'. k = -0.6666666667 Simplifying k = -0.6666666667Solution
k = {-0.6666666667, -0.6666666667}
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