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

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

Simplifying
6a2b2c2d + 2acd2 = acd

Reorder the terms:
2acd2 + 6a2b2c2d = acd

Solving
2acd2 + 6a2b2c2d = acd

Solving for variable 'a'.

Reorder the terms:
-1acd + 2acd2 + 6a2b2c2d = acd + -1acd

Combine like terms: acd + -1acd = 0
-1acd + 2acd2 + 6a2b2c2d = 0

Factor out the Greatest Common Factor (GCF), 'acd'.
acd(-1 + 2d + 6ab2c) = 0

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 + 2d + 6ab2c)' equal to zero and attempt to solve:

Simplifying
-1 + 2d + 6ab2c = 0

Reorder the terms:
-1 + 6ab2c + 2d = 0

Solving
-1 + 6ab2c + 2d = 0

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

Add '1' to each side of the equation.
-1 + 6ab2c + 1 + 2d = 0 + 1

Reorder the terms:
-1 + 1 + 6ab2c + 2d = 0 + 1

Combine like terms: -1 + 1 = 0
0 + 6ab2c + 2d = 0 + 1
6ab2c + 2d = 0 + 1

Combine like terms: 0 + 1 = 1
6ab2c + 2d = 1

Add '-2d' to each side of the equation.
6ab2c + 2d + -2d = 1 + -2d

Combine like terms: 2d + -2d = 0
6ab2c + 0 = 1 + -2d
6ab2c = 1 + -2d

Divide each side by '6b2c'.
a = 0.1666666667b-2c-1 + -0.3333333333b-2c-1d

Simplifying
a = 0.1666666667b-2c-1 + -0.3333333333b-2c-1d
Solution
a = {0.1666666667b-2c-1 + -0.3333333333b-2c-1d}