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Simplifying 8k + -5k(5 + -3k) = 0 8k + (5 * -5k + -3k * -5k) = 0 8k + (-25k + 15k2) = 0 Combine like terms: 8k + -25k = -17k -17k + 15k2 = 0 Solving -17k + 15k2 = 0 Solving for variable 'k'. Factor out the Greatest Common Factor (GCF), 'k'. k(-17 + 15k) = 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 '(-17 + 15k)' equal to zero and attempt to solve: Simplifying -17 + 15k = 0 Solving -17 + 15k = 0 Move all terms containing k to the left, all other terms to the right. Add '17' to each side of the equation. -17 + 17 + 15k = 0 + 17 Combine like terms: -17 + 17 = 0 0 + 15k = 0 + 17 15k = 0 + 17 Combine like terms: 0 + 17 = 17 15k = 17 Divide each side by '15'. k = 1.133333333 Simplifying k = 1.133333333Solution
k = {0, 1.133333333}
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