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Simplifying 5k(-3 + 2k) + 7k = 0 (-3 * 5k + 2k * 5k) + 7k = 0 (-15k + 10k2) + 7k = 0 Reorder the terms: -15k + 7k + 10k2 = 0 Combine like terms: -15k + 7k = -8k -8k + 10k2 = 0 Solving -8k + 10k2 = 0 Solving for variable 'k'. Factor out the Greatest Common Factor (GCF), '2k'. 2k(-4 + 5k) = 0 Ignore the factor 2.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 + 5k)' equal to zero and attempt to solve: Simplifying -4 + 5k = 0 Solving -4 + 5k = 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 + 5k = 0 + 4 Combine like terms: -4 + 4 = 0 0 + 5k = 0 + 4 5k = 0 + 4 Combine like terms: 0 + 4 = 4 5k = 4 Divide each side by '5'. k = 0.8 Simplifying k = 0.8Solution
k = {0, 0.8}
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