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Simplifying 9k2 + -6k + 3 = 3 Reorder the terms: 3 + -6k + 9k2 = 3 Add '-3' to each side of the equation. 3 + -6k + -3 + 9k2 = 3 + -3 Reorder the terms: 3 + -3 + -6k + 9k2 = 3 + -3 Combine like terms: 3 + -3 = 0 0 + -6k + 9k2 = 3 + -3 -6k + 9k2 = 3 + -3 Combine like terms: 3 + -3 = 0 -6k + 9k2 = 0 Solving -6k + 9k2 = 0 Solving for variable 'k'. Factor out the Greatest Common Factor (GCF), '3k'. 3k(-2 + 3k) = 0 Ignore the factor 3.Subproblem 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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