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Simplifying -5k2 + 20k + 225 = 0 Reorder the terms: 225 + 20k + -5k2 = 0 Solving 225 + 20k + -5k2 = 0 Solving for variable 'k'. Factor out the Greatest Common Factor (GCF), '5'. 5(45 + 4k + -1k2) = 0 Factor a trinomial. 5((9 + -1k)(5 + k)) = 0 Ignore the factor 5.Subproblem 1
Set the factor '(9 + -1k)' equal to zero and attempt to solve: Simplifying 9 + -1k = 0 Solving 9 + -1k = 0 Move all terms containing k to the left, all other terms to the right. Add '-9' to each side of the equation. 9 + -9 + -1k = 0 + -9 Combine like terms: 9 + -9 = 0 0 + -1k = 0 + -9 -1k = 0 + -9 Combine like terms: 0 + -9 = -9 -1k = -9 Divide each side by '-1'. k = 9 Simplifying k = 9Subproblem 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 = {9, -5}
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