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Simplifying 12mt(t + -3m) = 0 Reorder the terms: 12mt(-3m + t) = 0 (-3m * 12mt + t * 12mt) = 0 Reorder the terms: (12mt2 + -36m2t) = 0 (12mt2 + -36m2t) = 0 Solving 12mt2 + -36m2t = 0 Solving for variable 'm'. Factor out the Greatest Common Factor (GCF), '12mt'. 12mt(t + -3m) = 0 Ignore the factor 12.Subproblem 1
Set the factor 'mt' equal to zero and attempt to solve: Simplifying mt = 0 Solving mt = 0 Move all terms containing m to the left, all other terms to the right. Simplifying mt = 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 '(t + -3m)' equal to zero and attempt to solve: Simplifying t + -3m = 0 Reorder the terms: -3m + t = 0 Solving -3m + t = 0 Move all terms containing m to the left, all other terms to the right. Add '-1t' to each side of the equation. -3m + t + -1t = 0 + -1t Combine like terms: t + -1t = 0 -3m + 0 = 0 + -1t -3m = 0 + -1t Remove the zero: -3m = -1t Divide each side by '-3'. m = 0.3333333333t Simplifying m = 0.3333333333tSolution
m = {0.3333333333t}
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