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

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


Simplifying
2(4f + 2g) = 2f(4 + 2g)
(4f * 2 + 2g * 2) = 2f(4 + 2g)
(8f + 4g) = 2f(4 + 2g)
8f + 4g = (4 * 2f + 2g * 2f)
8f + 4g = (8f + 4fg)

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

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

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

Solving
4g = 4fg

Solving for variable 'g'.

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

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

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

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

Ignore the factor 4.

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 '(-1f + 1)' equal to zero and attempt to solve: Simplifying -1f + 1 = 0 Reorder the terms: 1 + -1f = 0 Solving 1 + -1f = 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 + -1f = 0 + -1 Combine like terms: 1 + -1 = 0 0 + -1f = 0 + -1 -1f = 0 + -1 Combine like terms: 0 + -1 = -1 -1f = -1 Add 'f' to each side of the equation. -1f + f = -1 + f Combine like terms: -1f + f = 0 0 = -1 + f Simplifying 0 = -1 + f The solution to this equation could not be determined. This subproblem is being ignored because a solution could not be determined.

Solution

g = {0}

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