8b^2-3b=-10+b

Solution for 8b^2-3b=-10+b equation:

Simplifying
8b2 + -3b = -10 + b

Reorder the terms:
-3b + 8b2 = -10 + b

Solving
-3b + 8b2 = -10 + b

Solving for variable 'b'.

Reorder the terms:
10 + -3b + -1b + 8b2 = -10 + b + 10 + -1b

Combine like terms: -3b + -1b = -4b
10 + -4b + 8b2 = -10 + b + 10 + -1b

Reorder the terms:
10 + -4b + 8b2 = -10 + 10 + b + -1b

Combine like terms: -10 + 10 = 0
10 + -4b + 8b2 = 0 + b + -1b
10 + -4b + 8b2 = b + -1b

Combine like terms: b + -1b = 0
10 + -4b + 8b2 = 0

Factor out the Greatest Common Factor (GCF), '2'.
2(5 + -2b + 4b2) = 0

Ignore the factor 2.
Subproblem 1
Set the factor '(5 + -2b + 4b2)' equal to zero and attempt to solve:

Simplifying
5 + -2b + 4b2 = 0

Solving
5 + -2b + 4b2 = 0

Begin completing the square.  Divide all terms by
4 the coefficient of the squared term: 

Divide each side by '4'.
1.25 + -0.5b + b2 = 0

Move the constant term to the right:

Add '-1.25' to each side of the equation.
1.25 + -0.5b + -1.25 + b2 = 0 + -1.25

Reorder the terms:
1.25 + -1.25 + -0.5b + b2 = 0 + -1.25

Combine like terms: 1.25 + -1.25 = 0.00
0.00 + -0.5b + b2 = 0 + -1.25
-0.5b + b2 = 0 + -1.25

Combine like terms: 0 + -1.25 = -1.25
-0.5b + b2 = -1.25

The b term is -0.5b.  Take half its coefficient (-0.25).
Square it (0.0625) and add it to both sides.

Add '0.0625' to each side of the equation.
-0.5b + 0.0625 + b2 = -1.25 + 0.0625

Reorder the terms:
0.0625 + -0.5b + b2 = -1.25 + 0.0625

Combine like terms: -1.25 + 0.0625 = -1.1875
0.0625 + -0.5b + b2 = -1.1875

Factor a perfect square on the left side:
(b + -0.25)(b + -0.25) = -1.1875

Can't calculate square root of the right side.

The solution to this equation could not be determined.

This subproblem is being ignored because a solution could not be determined.

The solution to this equation could not be determined.