=-18m^2+27mn

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Solution for =-18m^2+27mn equation:


Simplifying
0 = -18m2 + 27mn

Reorder the terms:
0 = 27mn + -18m2

Solving
0 = 27mn + -18m2

Solving for variable 'm'.
Remove the zero:
-27mn + 18m2 = 27mn + -18m2 + -27mn + 18m2

Reorder the terms:
-27mn + 18m2 = 27mn + -27mn + -18m2 + 18m2

Combine like terms: 27mn + -27mn = 0
-27mn + 18m2 = 0 + -18m2 + 18m2
-27mn + 18m2 = -18m2 + 18m2

Combine like terms: -18m2 + 18m2 = 0
-27mn + 18m2 = 0

Factor out the Greatest Common Factor (GCF), '9m'.
9m(-3n + 2m) = 0

Ignore the factor 9.

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

Solution

m = {0, 1.5n}

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