6f^2g^3+12g=

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Solution for 6f^2g^3+12g= equation: 


Simplifying
6f2g3 + 12g = 0

Solving
6f2g3 + 12g = 0

Solving for variable 'f'.

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

Add '-12g' to each side of the equation.
6f2g3 + 12g + -12g = 0 + -12g

Combine like terms: 12g + -12g = 0
6f2g3 + 0 = 0 + -12g
6f2g3 = 0 + -12g
Remove the zero:
6f2g3 = -12g

Divide each side by '6g3'.
f2 = -2g-2

Simplifying
f2 = -2g-2

Combine like terms: -2g-2 + 2g-2 = 0
f2 + 2g-2 = 0

Factor out the Greatest Common Factor (GCF), 'g-2'.
g-2(f2g2 + 2) = 0


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

Simplifying
g-2 = 0

Solving
g-2 = 0

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

Add '-1g-2' to each side of the equation.
g-2 + -1g-2 = 0 + -1g-2
Remove the zero:
0 = -1g-2

Simplifying
0 = -1g-2

The solution to this equation could not be determined.

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

Subproblem 2
Set the factor '(f2g2 + 2)' equal to zero and attempt to solve:

Simplifying
f2g2 + 2 = 0

Reorder the terms:
2 + f2g2 = 0

Solving
2 + f2g2 = 0

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

Add '-2' to each side of the equation.
2 + -2 + f2g2 = 0 + -2

Combine like terms: 2 + -2 = 0
0 + f2g2 = 0 + -2
f2g2 = 0 + -2

Combine like terms: 0 + -2 = -2
f2g2 = -2

Divide each side by 'g2'.
f2 = -2g-2

Simplifying
f2 = -2g-2

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.

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