8b^2-8b=-2

Solution for 8b^2-8b=-2 equation:

Simplifying
8b2 + -8b = -2

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

Solving
-8b + 8b2 = -2

Solving for variable 'b'.

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

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

Factor out the Greatest Common Factor (GCF), '2'.
2(1 + -4b + 4b2) = 0

Factor a trinomial.
2((1 + -2b)(1 + -2b)) = 0

Ignore the factor 2.
Subproblem 1
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
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 = {0.5, 0.5}