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Simplifying -5k2 + 10 = 5k Reorder the terms: 10 + -5k2 = 5k Solving 10 + -5k2 = 5k Solving for variable 'k'. Reorder the terms: 10 + -5k + -5k2 = 5k + -5k Combine like terms: 5k + -5k = 0 10 + -5k + -5k2 = 0 Factor out the Greatest Common Factor (GCF), '5'. 5(2 + -1k + -1k2) = 0 Factor a trinomial. 5((1 + -1k)(2 + k)) = 0 Ignore the factor 5.Subproblem 1
Set the factor '(1 + -1k)' equal to zero and attempt to solve: Simplifying 1 + -1k = 0 Solving 1 + -1k = 0 Move all terms containing k to the left, all other terms to the right. Add '-1' to each side of the equation. 1 + -1 + -1k = 0 + -1 Combine like terms: 1 + -1 = 0 0 + -1k = 0 + -1 -1k = 0 + -1 Combine like terms: 0 + -1 = -1 -1k = -1 Divide each side by '-1'. k = 1 Simplifying k = 1Subproblem 2
Set the factor '(2 + k)' equal to zero and attempt to solve: Simplifying 2 + k = 0 Solving 2 + k = 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 + k = 0 + -2 Combine like terms: 2 + -2 = 0 0 + k = 0 + -2 k = 0 + -2 Combine like terms: 0 + -2 = -2 k = -2 Simplifying k = -2Solution
k = {1, -2}
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