4g^2-g=g^2(4-g)

Solution for 4g^2-g=g^2(4-g) equation:

Simplifying
4g2 + -1g = g2(4 + -1g)

Reorder the terms:
-1g + 4g2 = g2(4 + -1g)
-1g + 4g2 = (4 * g2 + -1g * g2)
-1g + 4g2 = (4g2 + -1g3)

Add '-4g2' to each side of the equation.
-1g + 4g2 + -4g2 = 4g2 + -4g2 + -1g3

Combine like terms: 4g2 + -4g2 = 0
-1g + 0 = 4g2 + -4g2 + -1g3
-1g = 4g2 + -4g2 + -1g3

Combine like terms: 4g2 + -4g2 = 0
-1g = 0 + -1g3
-1g = -1g3

Solving
-1g = -1g3

Solving for variable 'g'.

Combine like terms: -1g3 + g3 = 0
-1g + g3 = 0

Factor out the Greatest Common Factor (GCF), 'g'.
g(-1 + g2) = 0

Factor a difference between two squares.
g((1 + g)(-1 + g)) = 0

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 '(1 + g)' equal to zero and attempt to solve:

Simplifying
1 + g = 0

Solving
1 + g = 0

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

Add '-1' to each side of the equation.
1 + -1 + g = 0 + -1

Combine like terms: 1 + -1 = 0
0 + g = 0 + -1
g = 0 + -1

Combine like terms: 0 + -1 = -1
g = -1

Simplifying
g = -1
Subproblem 3
Set the factor '(-1 + g)' equal to zero and attempt to solve:

Simplifying
-1 + g = 0

Solving
-1 + g = 0

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

Add '1' to each side of the equation.
-1 + 1 + g = 0 + 1

Combine like terms: -1 + 1 = 0
0 + g = 0 + 1
g = 0 + 1

Combine like terms: 0 + 1 = 1
g = 1

Simplifying
g = 1
Solution
g = {0, -1, 1}