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Simplifying 2k7m4 + 8k9m4 + -12k7m5 = 0 Reorder the terms: 2k7m4 + -12k7m5 + 8k9m4 = 0 Solving 2k7m4 + -12k7m5 + 8k9m4 = 0 Solving for variable 'k'. Factor out the Greatest Common Factor (GCF), '2k7m4'. 2k7m4(1 + -6m + 4k2) = 0 Ignore the factor 2.Subproblem 1
Set the factor 'k7m4' equal to zero and attempt to solve: Simplifying k7m4 = 0 Solving k7m4 = 0 Move all terms containing k to the left, all other terms to the right. Simplifying k7m4 = 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 + -6m + 4k2)' equal to zero and attempt to solve: Simplifying 1 + -6m + 4k2 = 0 Reorder the terms: 1 + 4k2 + -6m = 0 Solving 1 + 4k2 + -6m = 0 Move all terms containing k to the left, all other terms to the right. Add '-1' to each side of the equation. 1 + 4k2 + -1 + -6m = 0 + -1 Reorder the terms: 1 + -1 + 4k2 + -6m = 0 + -1 Combine like terms: 1 + -1 = 0 0 + 4k2 + -6m = 0 + -1 4k2 + -6m = 0 + -1 Combine like terms: 0 + -1 = -1 4k2 + -6m = -1 Add '6m' to each side of the equation. 4k2 + -6m + 6m = -1 + 6m Combine like terms: -6m + 6m = 0 4k2 + 0 = -1 + 6m 4k2 = -1 + 6m Divide each side by '4'. k2 = -0.25 + 1.5m Simplifying k2 = -0.25 + 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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