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Simplifying 7k2 + -35k + 24 = -4 Reorder the terms: 24 + -35k + 7k2 = -4 Solving 24 + -35k + 7k2 = -4 Solving for variable 'k'. Reorder the terms: 24 + 4 + -35k + 7k2 = -4 + 4 Combine like terms: 24 + 4 = 28 28 + -35k + 7k2 = -4 + 4 Combine like terms: -4 + 4 = 0 28 + -35k + 7k2 = 0 Factor out the Greatest Common Factor (GCF), '7'. 7(4 + -5k + k2) = 0 Factor a trinomial. 7((1 + -1k)(4 + -1k)) = 0 Ignore the factor 7.Subproblem 1
Set the factor '(1 + -1k)' equal to zero and attempt to solve: Simplifying 1 + -1k = 0 Solving 1 + -1k = 0 Move all terms containing k to the left, all other terms to the right. Add '-1' to each side of the equation. 1 + -1 + -1k = 0 + -1 Combine like terms: 1 + -1 = 0 0 + -1k = 0 + -1 -1k = 0 + -1 Combine like terms: 0 + -1 = -1 -1k = -1 Divide each side by '-1'. k = 1 Simplifying k = 1Subproblem 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 = {1, 4}
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