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Simplifying -4k2 + -8k + -3 = -3 + -5k2 Reorder the terms: -3 + -8k + -4k2 = -3 + -5k2 Add '3' to each side of the equation. -3 + -8k + 3 + -4k2 = -3 + 3 + -5k2 Reorder the terms: -3 + 3 + -8k + -4k2 = -3 + 3 + -5k2 Combine like terms: -3 + 3 = 0 0 + -8k + -4k2 = -3 + 3 + -5k2 -8k + -4k2 = -3 + 3 + -5k2 Combine like terms: -3 + 3 = 0 -8k + -4k2 = 0 + -5k2 -8k + -4k2 = -5k2 Solving -8k + -4k2 = -5k2 Solving for variable 'k'. Combine like terms: -4k2 + 5k2 = 1k2 -8k + 1k2 = -5k2 + 5k2 Combine like terms: -5k2 + 5k2 = 0 -8k + 1k2 = 0 Factor out the Greatest Common Factor (GCF), 'k'. k(-8 + k) = 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 + k)' equal to zero and attempt to solve: Simplifying -8 + k = 0 Solving -8 + k = 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 + k = 0 + 8 Combine like terms: -8 + 8 = 0 0 + k = 0 + 8 k = 0 + 8 Combine like terms: 0 + 8 = 8 k = 8 Simplifying k = 8Solution
k = {0, 8}
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