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Simplifying 45k2 + 45k + -350 = 0 Reorder the terms: -350 + 45k + 45k2 = 0 Solving -350 + 45k + 45k2 = 0 Solving for variable 'k'. Factor out the Greatest Common Factor (GCF), '5'. 5(-70 + 9k + 9k2) = 0 Factor a trinomial. 5((-10 + -3k)(7 + -3k)) = 0 Ignore the factor 5.Subproblem 1
Set the factor '(-10 + -3k)' equal to zero and attempt to solve: Simplifying -10 + -3k = 0 Solving -10 + -3k = 0 Move all terms containing k to the left, all other terms to the right. Add '10' to each side of the equation. -10 + 10 + -3k = 0 + 10 Combine like terms: -10 + 10 = 0 0 + -3k = 0 + 10 -3k = 0 + 10 Combine like terms: 0 + 10 = 10 -3k = 10 Divide each side by '-3'. k = -3.333333333 Simplifying k = -3.333333333Subproblem 2
Set the factor '(7 + -3k)' equal to zero and attempt to solve: Simplifying 7 + -3k = 0 Solving 7 + -3k = 0 Move all terms containing k to the left, all other terms to the right. Add '-7' to each side of the equation. 7 + -7 + -3k = 0 + -7 Combine like terms: 7 + -7 = 0 0 + -3k = 0 + -7 -3k = 0 + -7 Combine like terms: 0 + -7 = -7 -3k = -7 Divide each side by '-3'. k = 2.333333333 Simplifying k = 2.333333333Solution
k = {-3.333333333, 2.333333333}
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