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Simplifying -4k2 + -3(6k4) = 0 Remove parenthesis around (6k4) -4k2 + -3 * 6k4 = 0 Multiply -3 * 6 -4k2 + -18k4 = 0 Solving -4k2 + -18k4 = 0 Solving for variable 'k'. Factor out the Greatest Common Factor (GCF), '-2k2'. -2k2(2 + 9k2) = 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 '(2 + 9k2)' equal to zero and attempt to solve: Simplifying 2 + 9k2 = 0 Solving 2 + 9k2 = 0 Move all terms containing k to the left, all other terms to the right. Add '-2' to each side of the equation. 2 + -2 + 9k2 = 0 + -2 Combine like terms: 2 + -2 = 0 0 + 9k2 = 0 + -2 9k2 = 0 + -2 Combine like terms: 0 + -2 = -2 9k2 = -2 Divide each side by '9'. k2 = -0.2222222222 Simplifying k2 = -0.2222222222 The solution to this equation could not be determined. This subproblem is being ignored because a solution could not be determined.Solution
k = {0}
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