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Simplifying 28k2 + -100k + -48 = 0 Reorder the terms: -48 + -100k + 28k2 = 0 Solving -48 + -100k + 28k2 = 0 Solving for variable 'k'. Factor out the Greatest Common Factor (GCF), '4'. 4(-12 + -25k + 7k2) = 0 Factor a trinomial. 4((-3 + -7k)(4 + -1k)) = 0 Ignore the factor 4.Subproblem 1
Set the factor '(-3 + -7k)' equal to zero and attempt to solve: Simplifying -3 + -7k = 0 Solving -3 + -7k = 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 + -7k = 0 + 3 Combine like terms: -3 + 3 = 0 0 + -7k = 0 + 3 -7k = 0 + 3 Combine like terms: 0 + 3 = 3 -7k = 3 Divide each side by '-7'. k = -0.4285714286 Simplifying k = -0.4285714286Subproblem 2
Set the factor '(4 + -1k)' equal to zero and attempt to solve: Simplifying 4 + -1k = 0 Solving 4 + -1k = 0 Move all terms containing k to the left, all other terms to the right. Add '-4' to each side of the equation. 4 + -4 + -1k = 0 + -4 Combine like terms: 4 + -4 = 0 0 + -1k = 0 + -4 -1k = 0 + -4 Combine like terms: 0 + -4 = -4 -1k = -4 Divide each side by '-1'. k = 4 Simplifying k = 4Solution
k = {-0.4285714286, 4}
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