12m^2-18mn+24m=

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Solution for 12m^2-18mn+24m= equation:


Simplifying
12m2 + -18mn + 24m = 0

Reorder the terms:
24m + -18mn + 12m2 = 0

Solving
24m + -18mn + 12m2 = 0

Solving for variable 'm'.

Factor out the Greatest Common Factor (GCF), '6m'.
6m(4 + -3n + 2m) = 0

Ignore the factor 6.

Subproblem 1

Set the factor 'm' equal to zero and attempt to solve: Simplifying m = 0 Solving m = 0 Move all terms containing m to the left, all other terms to the right. Simplifying m = 0

Subproblem 2

Set the factor '(4 + -3n + 2m)' equal to zero and attempt to solve: Simplifying 4 + -3n + 2m = 0 Reorder the terms: 4 + 2m + -3n = 0 Solving 4 + 2m + -3n = 0 Move all terms containing m to the left, all other terms to the right. Add '-4' to each side of the equation. 4 + 2m + -4 + -3n = 0 + -4 Reorder the terms: 4 + -4 + 2m + -3n = 0 + -4 Combine like terms: 4 + -4 = 0 0 + 2m + -3n = 0 + -4 2m + -3n = 0 + -4 Combine like terms: 0 + -4 = -4 2m + -3n = -4 Add '3n' to each side of the equation. 2m + -3n + 3n = -4 + 3n Combine like terms: -3n + 3n = 0 2m + 0 = -4 + 3n 2m = -4 + 3n Divide each side by '2'. m = -2 + 1.5n Simplifying m = -2 + 1.5n

Solution

m = {0, -2 + 1.5n}

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