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Simplifying 3k2 + k = 3k Reorder the terms: k + 3k2 = 3k Solving k + 3k2 = 3k Solving for variable 'k'. Reorder the terms: k + -3k + 3k2 = 3k + -3k Combine like terms: k + -3k = -2k -2k + 3k2 = 3k + -3k Combine like terms: 3k + -3k = 0 -2k + 3k2 = 0 Factor out the Greatest Common Factor (GCF), 'k'. k(-2 + 3k) = 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 + 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, 0.6666666667}
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