12b^4c^3+6b^3c^2-18b^2c=

Solution for 12b^4c^3+6b^3c^2-18b^2c= equation:

Simplifying
12b4c3 + 6b3c2 + -18b2c = 0

Reorder the terms:
-18b2c + 6b3c2 + 12b4c3 = 0

Solving
-18b2c + 6b3c2 + 12b4c3 = 0

Solving for variable 'b'.

Factor out the Greatest Common Factor (GCF), '6b2c'.
6b2c(-3 + bc + 2b2c2) = 0

Factor a trinomial.
6b2c((-3 + -2bc)(1 + -1bc)) = 0

Ignore the factor 6.
Subproblem 1
Set the factor 'b2c' equal to zero and attempt to solve:

Simplifying
b2c = 0

Solving
b2c = 0

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

Simplifying
b2c = 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 '(-3 + -2bc)' equal to zero and attempt to solve:

Simplifying
-3 + -2bc = 0

Solving
-3 + -2bc = 0

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

Add '3' to each side of the equation.
-3 + 3 + -2bc = 0 + 3

Combine like terms: -3 + 3 = 0
0 + -2bc = 0 + 3
-2bc = 0 + 3

Combine like terms: 0 + 3 = 3
-2bc = 3

Divide each side by '-2c'.
b = -1.5c-1

Simplifying
b = -1.5c-1
Subproblem 3
Set the factor '(1 + -1bc)' equal to zero and attempt to solve:

Simplifying
1 + -1bc = 0

Solving
1 + -1bc = 0

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

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

Combine like terms: 1 + -1 = 0
0 + -1bc = 0 + -1
-1bc = 0 + -1

Combine like terms: 0 + -1 = -1
-1bc = -1

Divide each side by '-1c'.
b = c-1

Simplifying
b = c-1
Solution
b = {-1.5c-1, c-1}