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Simplifying 12mx(4m + -10) = 0 Reorder the terms: 12mx(-10 + 4m) = 0 (-10 * 12mx + 4m * 12mx) = 0 (-120mx + 48m2x) = 0 Solving -120mx + 48m2x = 0 Solving for variable 'm'. Factor out the Greatest Common Factor (GCF), '24mx'. 24mx(-5 + 2m) = 0 Ignore the factor 24.Subproblem 1
Set the factor 'mx' equal to zero and attempt to solve: Simplifying mx = 0 Solving mx = 0 Move all terms containing m to the left, all other terms to the right. Simplifying mx = 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 '(-5 + 2m)' equal to zero and attempt to solve: Simplifying -5 + 2m = 0 Solving -5 + 2m = 0 Move all terms containing m to the left, all other terms to the right. Add '5' to each side of the equation. -5 + 5 + 2m = 0 + 5 Combine like terms: -5 + 5 = 0 0 + 2m = 0 + 5 2m = 0 + 5 Combine like terms: 0 + 5 = 5 2m = 5 Divide each side by '2'. m = 2.5 Simplifying m = 2.5Solution
m = {2.5}
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