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Simplifying 4k2m3 + 8k4m3 + -12k2m4 = 0 Reorder the terms: 4k2m3 + -12k2m4 + 8k4m3 = 0 Solving 4k2m3 + -12k2m4 + 8k4m3 = 0 Solving for variable 'k'. Factor out the Greatest Common Factor (GCF), '4k2m3'. 4k2m3(1 + -3m + 2k2) = 0 Ignore the factor 4.Subproblem 1
Set the factor 'k2m3' equal to zero and attempt to solve: Simplifying k2m3 = 0 Solving k2m3 = 0 Move all terms containing k to the left, all other terms to the right. Simplifying k2m3 = 0 The solution to this equation could not be determined. This subproblem is being ignored because a solution could not be determined.Subproblem 2
Set the factor '(1 + -3m + 2k2)' equal to zero and attempt to solve: Simplifying 1 + -3m + 2k2 = 0 Reorder the terms: 1 + 2k2 + -3m = 0 Solving 1 + 2k2 + -3m = 0 Move all terms containing k to the left, all other terms to the right. Add '-1' to each side of the equation. 1 + 2k2 + -1 + -3m = 0 + -1 Reorder the terms: 1 + -1 + 2k2 + -3m = 0 + -1 Combine like terms: 1 + -1 = 0 0 + 2k2 + -3m = 0 + -1 2k2 + -3m = 0 + -1 Combine like terms: 0 + -1 = -1 2k2 + -3m = -1 Add '3m' to each side of the equation. 2k2 + -3m + 3m = -1 + 3m Combine like terms: -3m + 3m = 0 2k2 + 0 = -1 + 3m 2k2 = -1 + 3m Divide each side by '2'. k2 = -0.5 + 1.5m Simplifying k2 = -0.5 + 1.5m The solution to this equation could not be determined. This subproblem is being ignored because a solution could not be determined. The solution to this equation could not be determined.
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