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Simplifying 7k2 + 21k = 280 Reorder the terms: 21k + 7k2 = 280 Solving 21k + 7k2 = 280 Solving for variable 'k'. Reorder the terms: -280 + 21k + 7k2 = 280 + -280 Combine like terms: 280 + -280 = 0 -280 + 21k + 7k2 = 0 Factor out the Greatest Common Factor (GCF), '7'. 7(-40 + 3k + k2) = 0 Factor a trinomial. 7((-8 + -1k)(5 + -1k)) = 0 Ignore the factor 7.Subproblem 1
Set the factor '(-8 + -1k)' equal to zero and attempt to solve: Simplifying -8 + -1k = 0 Solving -8 + -1k = 0 Move all terms containing k to the left, all other terms to the right. Add '8' to each side of the equation. -8 + 8 + -1k = 0 + 8 Combine like terms: -8 + 8 = 0 0 + -1k = 0 + 8 -1k = 0 + 8 Combine like terms: 0 + 8 = 8 -1k = 8 Divide each side by '-1'. k = -8 Simplifying k = -8Subproblem 2
Set the factor '(5 + -1k)' equal to zero and attempt to solve: Simplifying 5 + -1k = 0 Solving 5 + -1k = 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 + -1k = 0 + -5 Combine like terms: 5 + -5 = 0 0 + -1k = 0 + -5 -1k = 0 + -5 Combine like terms: 0 + -5 = -5 -1k = -5 Divide each side by '-1'. k = 5 Simplifying k = 5Solution
k = {-8, 5}
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