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Simplifying -12k2 + 16k + 0 = 0 Reorder the terms: 0 + 16k + -12k2 = 0 Remove the zero: 16k + -12k2 = 0 Solving 16k + -12k2 = 0 Solving for variable 'k'. Factor out the Greatest Common Factor (GCF), '4k'. 4k(4 + -3k) = 0 Ignore the factor 4.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 '(4 + -3k)' equal to zero and attempt to solve: Simplifying 4 + -3k = 0 Solving 4 + -3k = 0 Move all terms containing k to the left, all other terms to the right. Add '-4' to each side of the equation. 4 + -4 + -3k = 0 + -4 Combine like terms: 4 + -4 = 0 0 + -3k = 0 + -4 -3k = 0 + -4 Combine like terms: 0 + -4 = -4 -3k = -4 Divide each side by '-3'. k = 1.333333333 Simplifying k = 1.333333333Solution
k = {0, 1.333333333}
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