12b^2c-13bc-35c=0

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Solution for 12b^2c-13bc-35c=0 equation: 


Simplifying
12b2c + -13bc + -35c = 0

Reorder the terms:
-13bc + 12b2c + -35c = 0

Solving
-13bc + 12b2c + -35c = 0

Solving for variable 'b'.

Factor out the Greatest Common Factor (GCF), 'c'.
c(-13b + 12b2 + -35) = 0

Factor a trinomial.
c((3b + -7)(4b + 5)) = 0


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

Simplifying
c = 0

Solving
c = 0

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

Add '-1c' to each side of the equation.
c + -1c = 0 + -1c
Remove the zero:
0 = -1c

Simplifying
0 = -1c

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 '(3b + -7)' equal to zero and attempt to solve:

Simplifying
3b + -7 = 0

Reorder the terms:
-7 + 3b = 0

Solving
-7 + 3b = 0

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

Add '7' to each side of the equation.
-7 + 7 + 3b = 0 + 7

Combine like terms: -7 + 7 = 0
0 + 3b = 0 + 7
3b = 0 + 7

Combine like terms: 0 + 7 = 7
3b = 7

Divide each side by '3'.
b = 2.333333333

Simplifying
b = 2.333333333

Subproblem 3
Set the factor '(4b + 5)' equal to zero and attempt to solve:

Simplifying
4b + 5 = 0

Reorder the terms:
5 + 4b = 0

Solving
5 + 4b = 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 + 4b = 0 + -5

Combine like terms: 5 + -5 = 0
0 + 4b = 0 + -5
4b = 0 + -5

Combine like terms: 0 + -5 = -5
4b = -5

Divide each side by '4'.
b = -1.25

Simplifying
b = -1.25
Solution
b = {2.333333333, -1.25}

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