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Simplifying 21k2 + 112k + 147 = 0 Reorder the terms: 147 + 112k + 21k2 = 0 Solving 147 + 112k + 21k2 = 0 Solving for variable 'k'. Factor out the Greatest Common Factor (GCF), '7'. 7(21 + 16k + 3k2) = 0 Factor a trinomial. 7((3 + k)(7 + 3k)) = 0 Ignore the factor 7.Subproblem 1
Set the factor '(3 + k)' equal to zero and attempt to solve: Simplifying 3 + k = 0 Solving 3 + k = 0 Move all terms containing k to the left, all other terms to the right. Add '-3' to each side of the equation. 3 + -3 + k = 0 + -3 Combine like terms: 3 + -3 = 0 0 + k = 0 + -3 k = 0 + -3 Combine like terms: 0 + -3 = -3 k = -3 Simplifying k = -3Subproblem 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, -2.333333333}
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