12b^2-5bc-2c^2=

Solution for 12b^2-5bc-2c^2= equation:

Simplifying
12b2 + -5bc + -2c2 = 0

Reorder the terms:
-5bc + 12b2 + -2c2 = 0

Solving
-5bc + 12b2 + -2c2 = 0

Solving for variable 'b'.

Factor a trinomial.
(3b + -2c)(4b + c) = 0

Subproblem 1
Set the factor '(3b + -2c)' equal to zero and attempt to solve:

Simplifying
3b + -2c = 0

Solving
3b + -2c = 0

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

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

Combine like terms: -2c + 2c = 0
3b + 0 = 0 + 2c
3b = 0 + 2c
Remove the zero:
3b = 2c

Divide each side by '3'.
b = 0.6666666667c

Simplifying
b = 0.6666666667c
Subproblem 2
Set the factor '(4b + c)' equal to zero and attempt to solve:

Simplifying
4b + c = 0

Solving
4b + c = 0

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

Add '-1c' to each side of the equation.
4b + c + -1c = 0 + -1c

Combine like terms: c + -1c = 0
4b + 0 = 0 + -1c
4b = 0 + -1c
Remove the zero:
4b = -1c

Divide each side by '4'.
b = -0.25c

Simplifying
b = -0.25c
Solution
b = {0.6666666667c, -0.25c}