3ab+4b+5ab+6+b+c=

Solution for 3ab+4b+5ab+6+b+c= equation:

Simplifying
3ab + 4b + 5ab + 6 + b + c = 0

Reorder the terms:
6 + 3ab + 5ab + 4b + b + c = 0

Combine like terms: 3ab + 5ab = 8ab
6 + 8ab + 4b + b + c = 0

Combine like terms: 4b + b = 5b
6 + 8ab + 5b + c = 0

Solving
6 + 8ab + 5b + c = 0

Solving for variable 'a'.

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

Add '-6' to each side of the equation.
6 + 8ab + 5b + -6 + c = 0 + -6

Reorder the terms:
6 + -6 + 8ab + 5b + c = 0 + -6

Combine like terms: 6 + -6 = 0
0 + 8ab + 5b + c = 0 + -6
8ab + 5b + c = 0 + -6

Combine like terms: 0 + -6 = -6
8ab + 5b + c = -6

Add '-5b' to each side of the equation.
8ab + 5b + -5b + c = -6 + -5b

Combine like terms: 5b + -5b = 0
8ab + 0 + c = -6 + -5b
8ab + c = -6 + -5b

Add '-1c' to each side of the equation.
8ab + c + -1c = -6 + -5b + -1c

Combine like terms: c + -1c = 0
8ab + 0 = -6 + -5b + -1c
8ab = -6 + -5b + -1c

Divide each side by '8b'.
a = -0.75b-1 + -0.625 + -0.125b-1c

Simplifying
a = -0.75b-1 + -0.625 + -0.125b-1c

Reorder the terms:
a = -0.625 + -0.75b-1 + -0.125b-1c