12bc^2-22bc+10b=0

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Solution for 12bc^2-22bc+10b=0 equation: 


Simplifying
12bc2 + -22bc + 10b = 0

Reorder the terms:
10b + -22bc + 12bc2 = 0

Solving
10b + -22bc + 12bc2 = 0

Solving for variable 'b'.

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

Factor out the Greatest Common Factor (GCF), '2b'.
2b(5 + -11c + 6c2) = 0

Factor a trinomial.
2b((5 + -6c)(1 + -1c)) = 0

Ignore the factor 2.

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

Simplifying
b = 0

Solving
b = 0

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

Simplifying
b = 0

Subproblem 2
Set the factor '(5 + -6c)' equal to zero and attempt to solve:

Simplifying
5 + -6c = 0

Solving
5 + -6c = 0

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

Add '-5' to each side of the equation.
5 + -5 + -6c = 0 + -5

Combine like terms: 5 + -5 = 0
0 + -6c = 0 + -5
-6c = 0 + -5

Combine like terms: 0 + -5 = -5
-6c = -5

Add '6c' to each side of the equation.
-6c + 6c = -5 + 6c

Combine like terms: -6c + 6c = 0
0 = -5 + 6c

Simplifying
0 = -5 + 6c

The solution to this equation could not be determined.

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

Subproblem 3
Set the factor '(1 + -1c)' equal to zero and attempt to solve:

Simplifying
1 + -1c = 0

Solving
1 + -1c = 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 + -1c = 0 + -1

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

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

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

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

Simplifying
0 = -1 + c

The solution to this equation could not be determined.

This subproblem is being ignored because a solution could not be determined.
Solution
b = {0}

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