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Simplifying 32m4 + 12m3 = 4m3 Reorder the terms: 12m3 + 32m4 = 4m3 Solving 12m3 + 32m4 = 4m3 Solving for variable 'm'. Reorder the terms: 12m3 + -4m3 + 32m4 = 4m3 + -4m3 Combine like terms: 12m3 + -4m3 = 8m3 8m3 + 32m4 = 4m3 + -4m3 Combine like terms: 4m3 + -4m3 = 0 8m3 + 32m4 = 0 Factor out the Greatest Common Factor (GCF), '8m3'. 8m3(1 + 4m) = 0 Ignore the factor 8.Subproblem 1
Set the factor 'm3' equal to zero and attempt to solve: Simplifying m3 = 0 Solving m3 = 0 Move all terms containing m to the left, all other terms to the right. Simplifying m3 = 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 + 4m)' equal to zero and attempt to solve: Simplifying 1 + 4m = 0 Solving 1 + 4m = 0 Move all terms containing m to the left, all other terms to the right. Add '-1' to each side of the equation. 1 + -1 + 4m = 0 + -1 Combine like terms: 1 + -1 = 0 0 + 4m = 0 + -1 4m = 0 + -1 Combine like terms: 0 + -1 = -1 4m = -1 Divide each side by '4'. m = -0.25 Simplifying m = -0.25Solution
m = {-0.25}
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