b(b+10)+6=b(b+6)-2

Solution for b(b+10)+6=b(b+6)-2 equation:

Simplifying
b(b + 10) + 6 = b(b + 6) + -2

Reorder the terms:
b(10 + b) + 6 = b(b + 6) + -2
(10 * b + b * b) + 6 = b(b + 6) + -2
(10b + b2) + 6 = b(b + 6) + -2

Reorder the terms:
6 + 10b + b2 = b(b + 6) + -2

Reorder the terms:
6 + 10b + b2 = b(6 + b) + -2
6 + 10b + b2 = (6 * b + b * b) + -2
6 + 10b + b2 = (6b + b2) + -2

Reorder the terms:
6 + 10b + b2 = -2 + 6b + b2

Add '-1b2' to each side of the equation.
6 + 10b + b2 + -1b2 = -2 + 6b + b2 + -1b2

Combine like terms: b2 + -1b2 = 0
6 + 10b + 0 = -2 + 6b + b2 + -1b2
6 + 10b = -2 + 6b + b2 + -1b2

Combine like terms: b2 + -1b2 = 0
6 + 10b = -2 + 6b + 0
6 + 10b = -2 + 6b

Solving
6 + 10b = -2 + 6b

Solving for variable 'b'.

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

Add '-6b' to each side of the equation.
6 + 10b + -6b = -2 + 6b + -6b

Combine like terms: 10b + -6b = 4b
6 + 4b = -2 + 6b + -6b

Combine like terms: 6b + -6b = 0
6 + 4b = -2 + 0
6 + 4b = -2

Add '-6' to each side of the equation.
6 + -6 + 4b = -2 + -6

Combine like terms: 6 + -6 = 0
0 + 4b = -2 + -6
4b = -2 + -6

Combine like terms: -2 + -6 = -8
4b = -8

Divide each side by '4'.
b = -2

Simplifying
b = -2