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Simplifying 12k4 + -14k3 + -98k2 = 0 Reorder the terms: -98k2 + -14k3 + 12k4 = 0 Solving -98k2 + -14k3 + 12k4 = 0 Solving for variable 'k'. Factor out the Greatest Common Factor (GCF), '2k2'. 2k2(-49 + -7k + 6k2) = 0 Factor a trinomial. 2k2((-7 + -3k)(7 + -2k)) = 0 Ignore the factor 2.Subproblem 1
Set the factor 'k2' equal to zero and attempt to solve: Simplifying k2 = 0 Solving k2 = 0 Move all terms containing k to the left, all other terms to the right. Simplifying k2 = 0 Take the square root of each side: k = {0}Subproblem 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 = -2.333333333Subproblem 3
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 = 3.5Solution
k = {0, -2.333333333, 3.5}
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