(25+4m)g=(2m+65)g

Solution for (25+4m)g=(2m+65)g equation:

Simplifying
(25 + 4m) * g = (2m + 65) * g

Reorder the terms for easier multiplication:
g(25 + 4m) = (2m + 65) * g
(25 * g + 4m * g) = (2m + 65) * g
(25g + 4gm) = (2m + 65) * g

Reorder the terms:
25g + 4gm = (65 + 2m) * g

Reorder the terms for easier multiplication:
25g + 4gm = g(65 + 2m)
25g + 4gm = (65 * g + 2m * g)
25g + 4gm = (65g + 2gm)

Solving
25g + 4gm = 65g + 2gm

Solving for variable 'g'.

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

Add '-65g' to each side of the equation.
25g + -65g + 4gm = 65g + -65g + 2gm

Combine like terms: 25g + -65g = -40g
-40g + 4gm = 65g + -65g + 2gm

Combine like terms: 65g + -65g = 0
-40g + 4gm = 0 + 2gm
-40g + 4gm = 2gm

Add '-2gm' to each side of the equation.
-40g + 4gm + -2gm = 2gm + -2gm

Combine like terms: 4gm + -2gm = 2gm
-40g + 2gm = 2gm + -2gm

Combine like terms: 2gm + -2gm = 0
-40g + 2gm = 0

Factor out the Greatest Common Factor (GCF), '2g'.
2g(-20 + m) = 0

Ignore the factor 2.
Subproblem 1
Set the factor 'g' equal to zero and attempt to solve:

Simplifying
g = 0

Solving
g = 0

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

Simplifying
g = 0
Subproblem 2
Set the factor '(-20 + m)' equal to zero and attempt to solve:

Simplifying
-20 + m = 0

Solving
-20 + m = 0

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

Add '20' to each side of the equation.
-20 + 20 + m = 0 + 20

Combine like terms: -20 + 20 = 0
0 + m = 0 + 20
m = 0 + 20

Combine like terms: 0 + 20 = 20
m = 20

Add '-1m' to each side of the equation.
m + -1m = 20 + -1m

Combine like terms: m + -1m = 0
0 = 20 + -1m

Simplifying
0 = 20 + -1m

The solution to this equation could not be determined.

This subproblem is being ignored because a solution could not be determined.
Solution
g = {0}