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Simplifying 2k5m2 + 8k7m2 + -16k5m3 = 0 Reorder the terms: 2k5m2 + -16k5m3 + 8k7m2 = 0 Solving 2k5m2 + -16k5m3 + 8k7m2 = 0 Solving for variable 'k'. Factor out the Greatest Common Factor (GCF), '2k5m2'. 2k5m2(1 + -8m + 4k2) = 0 Ignore the factor 2.Subproblem 1
Set the factor 'k5m2' equal to zero and attempt to solve: Simplifying k5m2 = 0 Solving k5m2 = 0 Move all terms containing k to the left, all other terms to the right. Simplifying k5m2 = 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 + -8m + 4k2)' equal to zero and attempt to solve: Simplifying 1 + -8m + 4k2 = 0 Reorder the terms: 1 + 4k2 + -8m = 0 Solving 1 + 4k2 + -8m = 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 + -8m = 0 + -1 Reorder the terms: 1 + -1 + 4k2 + -8m = 0 + -1 Combine like terms: 1 + -1 = 0 0 + 4k2 + -8m = 0 + -1 4k2 + -8m = 0 + -1 Combine like terms: 0 + -1 = -1 4k2 + -8m = -1 Add '8m' to each side of the equation. 4k2 + -8m + 8m = -1 + 8m Combine like terms: -8m + 8m = 0 4k2 + 0 = -1 + 8m 4k2 = -1 + 8m Divide each side by '4'. k2 = -0.25 + 2m Simplifying k2 = -0.25 + 2m 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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