35m^2=3m(2xw)

Solution for 35m^2=3m(2xw) equation:

Simplifying
35m2 = 3m(2xw)

Remove parenthesis around (2wx)
35m2 = 3m * 2wx

Reorder the terms for easier multiplication:
35m2 = 3 * 2m * wx

Multiply 3 * 2
35m2 = 6m * wx

Multiply m * wx
35m2 = 6mwx

Solving
35m2 = 6mwx

Solving for variable 'm'.

Reorder the terms:
-6mwx + 35m2 = 6mwx + -6mwx

Combine like terms: 6mwx + -6mwx = 0
-6mwx + 35m2 = 0

Factor out the Greatest Common Factor (GCF), 'm'.
m(-6wx + 35m) = 0

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 '(-6wx + 35m)' equal to zero and attempt to solve:

Simplifying
-6wx + 35m = 0

Reorder the terms:
35m + -6wx = 0

Solving
35m + -6wx = 0

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

Add '6wx' to each side of the equation.
35m + -6wx + 6wx = 0 + 6wx

Combine like terms: -6wx + 6wx = 0
35m + 0 = 0 + 6wx
35m = 0 + 6wx
Remove the zero:
35m = 6wx

Divide each side by '35'.
m = 0.1714285714wx

Simplifying
m = 0.1714285714wx
Solution
m = {0, 0.1714285714wx}