6a^2b^2c^2d+2acd^2=2acd

Solution for 6a^2b^2c^2d+2acd^2=2acd equation:

Simplifying
6a2b2c2d + 2acd2 = 2acd

Reorder the terms:
2acd2 + 6a2b2c2d = 2acd

Solving
2acd2 + 6a2b2c2d = 2acd

Solving for variable 'a'.

Reorder the terms:
-2acd + 2acd2 + 6a2b2c2d = 2acd + -2acd

Combine like terms: 2acd + -2acd = 0
-2acd + 2acd2 + 6a2b2c2d = 0

Factor out the Greatest Common Factor (GCF), '2acd'.
2acd(-1 + d + 3ab2c) = 0

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

Simplifying
acd = 0

Solving
acd = 0

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

Simplifying
acd = 0

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 '(-1 + d + 3ab2c)' equal to zero and attempt to solve:

Simplifying
-1 + d + 3ab2c = 0

Reorder the terms:
-1 + 3ab2c + d = 0

Solving
-1 + 3ab2c + d = 0

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

Add '1' to each side of the equation.
-1 + 3ab2c + 1 + d = 0 + 1

Reorder the terms:
-1 + 1 + 3ab2c + d = 0 + 1

Combine like terms: -1 + 1 = 0
0 + 3ab2c + d = 0 + 1
3ab2c + d = 0 + 1

Combine like terms: 0 + 1 = 1
3ab2c + d = 1

Add '-1d' to each side of the equation.
3ab2c + d + -1d = 1 + -1d

Combine like terms: d + -1d = 0
3ab2c + 0 = 1 + -1d
3ab2c = 1 + -1d

Divide each side by '3b2c'.
a = 0.3333333333b-2c-1 + -0.3333333333b-2c-1d

Simplifying
a = 0.3333333333b-2c-1 + -0.3333333333b-2c-1d
Solution
a = {0.3333333333b-2c-1 + -0.3333333333b-2c-1d}