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Simplifying 8k + -3 = -3 + -5k2 Reorder the terms: -3 + 8k = -3 + -5k2 Add '3' to each side of the equation. -3 + 3 + 8k = -3 + 3 + -5k2 Combine like terms: -3 + 3 = 0 0 + 8k = -3 + 3 + -5k2 8k = -3 + 3 + -5k2 Combine like terms: -3 + 3 = 0 8k = 0 + -5k2 8k = -5k2 Solving 8k = -5k2 Solving for variable 'k'. Combine like terms: -5k2 + 5k2 = 0 8k + 5k2 = 0 Factor out the Greatest Common Factor (GCF), 'k'. k(8 + 5k) = 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 '(8 + 5k)' equal to zero and attempt to solve: Simplifying 8 + 5k = 0 Solving 8 + 5k = 0 Move all terms containing k to the left, all other terms to the right. Add '-8' to each side of the equation. 8 + -8 + 5k = 0 + -8 Combine like terms: 8 + -8 = 0 0 + 5k = 0 + -8 5k = 0 + -8 Combine like terms: 0 + -8 = -8 5k = -8 Divide each side by '5'. k = -1.6 Simplifying k = -1.6Solution
k = {0, -1.6}
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