45a^2b^2c^2=abc

Solution for 45a^2b^2c^2=abc equation:

Simplifying
45a2b2c2 = abc

Solving
45a2b2c2 = abc

Solving for variable 'a'.

Reorder the terms:
-1abc + 45a2b2c2 = abc + -1abc

Combine like terms: abc + -1abc = 0
-1abc + 45a2b2c2 = 0

Factor out the Greatest Common Factor (GCF), 'abc'.
abc(-1 + 45abc) = 0

Subproblem 1
Set the factor 'abc' equal to zero and attempt to solve:

Simplifying
abc = 0

Solving
abc = 0

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

Simplifying
abc = 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 + 45abc)' equal to zero and attempt to solve:

Simplifying
-1 + 45abc = 0

Solving
-1 + 45abc = 0

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

Add '1' to each side of the equation.
-1 + 1 + 45abc = 0 + 1

Combine like terms: -1 + 1 = 0
0 + 45abc = 0 + 1
45abc = 0 + 1

Combine like terms: 0 + 1 = 1
45abc = 1

Divide each side by '45bc'.
a = 0.02222222222b-1c-1

Simplifying
a = 0.02222222222b-1c-1
Solution
a = {0.02222222222b-1c-1}