3m*m=102m

Solution for 3m*m=102m equation:

Simplifying
3m * m = 102m

Multiply m * m
3m2 = 102m

Solving
3m2 = 102m

Solving for variable 'm'.

Reorder the terms:
-102m + 3m2 = 102m + -102m

Combine like terms: 102m + -102m = 0
-102m + 3m2 = 0

Factor out the Greatest Common Factor (GCF), '3m'.
3m(-34 + m) = 0

Ignore the factor 3.
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 '(-34 + m)' equal to zero and attempt to solve:

Simplifying
-34 + m = 0

Solving
-34 + m = 0

Move all terms containing m to the left, all other terms to the right.

Add '34' to each side of the equation.
-34 + 34 + m = 0 + 34

Combine like terms: -34 + 34 = 0
0 + m = 0 + 34
m = 0 + 34

Combine like terms: 0 + 34 = 34
m = 34

Simplifying
m = 34
Solution
m = {0, 34}