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Simplifying 5k * k = -25k Multiply k * k 5k2 = -25k Solving 5k2 = -25k Solving for variable 'k'. Reorder the terms: 25k + 5k2 = -25k + 25k Combine like terms: -25k + 25k = 0 25k + 5k2 = 0 Factor out the Greatest Common Factor (GCF), '5k'. 5k(5 + k) = 0 Ignore the factor 5.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 '(5 + k)' equal to zero and attempt to solve: Simplifying 5 + k = 0 Solving 5 + k = 0 Move all terms containing k to the left, all other terms to the right. Add '-5' to each side of the equation. 5 + -5 + k = 0 + -5 Combine like terms: 5 + -5 = 0 0 + k = 0 + -5 k = 0 + -5 Combine like terms: 0 + -5 = -5 k = -5 Simplifying k = -5Solution
k = {0, -5}
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