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Simplifying 4k2 + -24k + 8 = 8 Reorder the terms: 8 + -24k + 4k2 = 8 Add '-8' to each side of the equation. 8 + -24k + -8 + 4k2 = 8 + -8 Reorder the terms: 8 + -8 + -24k + 4k2 = 8 + -8 Combine like terms: 8 + -8 = 0 0 + -24k + 4k2 = 8 + -8 -24k + 4k2 = 8 + -8 Combine like terms: 8 + -8 = 0 -24k + 4k2 = 0 Solving -24k + 4k2 = 0 Solving for variable 'k'. Factor out the Greatest Common Factor (GCF), '4k'. 4k(-6 + k) = 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 '(-6 + k)' equal to zero and attempt to solve: Simplifying -6 + k = 0 Solving -6 + k = 0 Move all terms containing k to the left, all other terms to the right. Add '6' to each side of the equation. -6 + 6 + k = 0 + 6 Combine like terms: -6 + 6 = 0 0 + k = 0 + 6 k = 0 + 6 Combine like terms: 0 + 6 = 6 k = 6 Simplifying k = 6Solution
k = {0, 6}
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