8b^2+6b=2b

Solution for 8b^2+6b=2b equation:

Simplifying
8b2 + 6b = 2b

Reorder the terms:
6b + 8b2 = 2b

Solving
6b + 8b2 = 2b

Solving for variable 'b'.

Reorder the terms:
6b + -2b + 8b2 = 2b + -2b

Combine like terms: 6b + -2b = 4b
4b + 8b2 = 2b + -2b

Combine like terms: 2b + -2b = 0
4b + 8b2 = 0

Factor out the Greatest Common Factor (GCF), '4b'.
4b(1 + 2b) = 0

Ignore the factor 4.
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 '(1 + 2b)' equal to zero and attempt to solve:

Simplifying
1 + 2b = 0

Solving
1 + 2b = 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 + 2b = 0 + -1

Combine like terms: 1 + -1 = 0
0 + 2b = 0 + -1
2b = 0 + -1

Combine like terms: 0 + -1 = -1
2b = -1

Divide each side by '2'.
b = -0.5

Simplifying
b = -0.5
Solution
b = {0, -0.5}