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Simplifying 8k2 + 32 = 32k Reorder the terms: 32 + 8k2 = 32k Solving 32 + 8k2 = 32k Solving for variable 'k'. Reorder the terms: 32 + -32k + 8k2 = 32k + -32k Combine like terms: 32k + -32k = 0 32 + -32k + 8k2 = 0 Factor out the Greatest Common Factor (GCF), '8'. 8(4 + -4k + k2) = 0 Factor a trinomial. 8((2 + -1k)(2 + -1k)) = 0 Ignore the factor 8.Subproblem 1
Set the factor '(2 + -1k)' equal to zero and attempt to solve: Simplifying 2 + -1k = 0 Solving 2 + -1k = 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 + -1k = 0 + -2 Combine like terms: 2 + -2 = 0 0 + -1k = 0 + -2 -1k = 0 + -2 Combine like terms: 0 + -2 = -2 -1k = -2 Divide each side by '-1'. k = 2 Simplifying k = 2Subproblem 2
Set the factor '(2 + -1k)' equal to zero and attempt to solve: Simplifying 2 + -1k = 0 Solving 2 + -1k = 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 + -1k = 0 + -2 Combine like terms: 2 + -2 = 0 0 + -1k = 0 + -2 -1k = 0 + -2 Combine like terms: 0 + -2 = -2 -1k = -2 Divide each side by '-1'. k = 2 Simplifying k = 2Solution
k = {2, 2}
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