2(4f+2g)2=2f(4+2g)

Solution for 2(4f+2g)2=2f(4+2g) equation:

Simplifying
2(4f + 2g) * 2 = 2f(4 + 2g)

Reorder the terms for easier multiplication:
2 * 2(4f + 2g) = 2f(4 + 2g)

Multiply 2 * 2
4(4f + 2g) = 2f(4 + 2g)
(4f * 4 + 2g * 4) = 2f(4 + 2g)
(16f + 8g) = 2f(4 + 2g)
16f + 8g = (4 * 2f + 2g * 2f)
16f + 8g = (8f + 4fg)

Solving
16f + 8g = 8f + 4fg

Solving for variable 'f'.

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

Add '-8f' to each side of the equation.
16f + -8f + 8g = 8f + -8f + 4fg

Combine like terms: 16f + -8f = 8f
8f + 8g = 8f + -8f + 4fg

Combine like terms: 8f + -8f = 0
8f + 8g = 0 + 4fg
8f + 8g = 4fg

Add '-4fg' to each side of the equation.
8f + -4fg + 8g = 4fg + -4fg

Combine like terms: 4fg + -4fg = 0
8f + -4fg + 8g = 0

Add '-8g' to each side of the equation.
8f + -4fg + 8g + -8g = 0 + -8g

Combine like terms: 8g + -8g = 0
8f + -4fg + 0 = 0 + -8g
8f + -4fg = 0 + -8g
Remove the zero:
8f + -4fg = -8g

Combine like terms: -8g + 8g = 0
8f + -4fg + 8g = 0

Factor out the Greatest Common Factor (GCF), '4'.
4(2f + -1fg + 2g) = 0

Ignore the factor 4.
Subproblem 1
Set the factor '(2f + -1fg + 2g)' equal to zero and attempt to solve:

Simplifying
2f + -1fg + 2g = 0

Solving
2f + -1fg + 2g = 0

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

Add '-2g' to each side of the equation.
2f + -1fg + 2g + -2g = 0 + -2g

Combine like terms: 2g + -2g = 0
2f + -1fg + 0 = 0 + -2g
2f + -1fg = 0 + -2g
Remove the zero:
2f + -1fg = -2g

The solution to this equation could not be determined.

This subproblem is being ignored because a solution could not be determined.

The solution to this equation could not be determined.