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Simplifying 2k + 3k(3k + -1s) = 0 2k + (3k * 3k + -1s * 3k) = 0 Reorder the terms: 2k + (-3ks + 9k2) = 0 2k + (-3ks + 9k2) = 0 Solving 2k + -3ks + 9k2 = 0 Solving for variable 'k'. Factor out the Greatest Common Factor (GCF), 'k'. k(2 + -3s + 9k) = 0Subproblem 1
Set the factor 'k' equal to zero and attempt to solve: Simplifying k = 0 Solving k = 0 Move all terms containing k to the left, all other terms to the right. Simplifying k = 0Subproblem 2
Set the factor '(2 + -3s + 9k)' equal to zero and attempt to solve: Simplifying 2 + -3s + 9k = 0 Reorder the terms: 2 + 9k + -3s = 0 Solving 2 + 9k + -3s = 0 Move all terms containing k to the left, all other terms to the right. Add '-2' to each side of the equation. 2 + 9k + -2 + -3s = 0 + -2 Reorder the terms: 2 + -2 + 9k + -3s = 0 + -2 Combine like terms: 2 + -2 = 0 0 + 9k + -3s = 0 + -2 9k + -3s = 0 + -2 Combine like terms: 0 + -2 = -2 9k + -3s = -2 Add '3s' to each side of the equation. 9k + -3s + 3s = -2 + 3s Combine like terms: -3s + 3s = 0 9k + 0 = -2 + 3s 9k = -2 + 3s Divide each side by '9'. k = -0.2222222222 + 0.3333333333s Simplifying k = -0.2222222222 + 0.3333333333sSolution
k = {0, -0.2222222222 + 0.3333333333s}
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