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Simplifying 2k3 + -1k2 + -28k = 0 Reorder the terms: -28k + -1k2 + 2k3 = 0 Solving -28k + -1k2 + 2k3 = 0 Solving for variable 'k'. Factor out the Greatest Common Factor (GCF), 'k'. k(-28 + -1k + 2k2) = 0 Factor a trinomial. k((-7 + -2k)(4 + -1k)) = 0Subproblem 1
Set the factor 'k' equal to zero and attempt to solve: Simplifying k = 0 Solving k = 0 Move all terms containing k to the left, all other terms to the right. Simplifying k = 0Subproblem 2
Set the factor '(-7 + -2k)' equal to zero and attempt to solve: Simplifying -7 + -2k = 0 Solving -7 + -2k = 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 + -2k = 0 + 7 Combine like terms: -7 + 7 = 0 0 + -2k = 0 + 7 -2k = 0 + 7 Combine like terms: 0 + 7 = 7 -2k = 7 Divide each side by '-2'. k = -3.5 Simplifying k = -3.5Subproblem 3
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, -3.5, 4}
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