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Simplifying -4K2 + -8K(8K + 1) = 0 Reorder the terms: -4K2 + -8K(1 + 8K) = 0 -4K2 + (1 * -8K + 8K * -8K) = 0 -4K2 + (-8K + -64K2) = 0 Reorder the terms: -8K + -4K2 + -64K2 = 0 Combine like terms: -4K2 + -64K2 = -68K2 -8K + -68K2 = 0 Solving -8K + -68K2 = 0 Solving for variable 'K'. Factor out the Greatest Common Factor (GCF), '-4K'. -4K(2 + 17K) = 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 '(2 + 17K)' equal to zero and attempt to solve: Simplifying 2 + 17K = 0 Solving 2 + 17K = 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 + 17K = 0 + -2 Combine like terms: 2 + -2 = 0 0 + 17K = 0 + -2 17K = 0 + -2 Combine like terms: 0 + -2 = -2 17K = -2 Divide each side by '17'. K = -0.1176470588 Simplifying K = -0.1176470588Solution
K = {0, -0.1176470588}
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