b-1(2b+3)=2b^2

Solution for b-1(2b+3)=2b^2 equation:

Simplifying
b + -1(2b + 3) = 2b2

Reorder the terms:
b + -1(3 + 2b) = 2b2
b + (3 * -1 + 2b * -1) = 2b2
b + (-3 + -2b) = 2b2

Reorder the terms:
-3 + b + -2b = 2b2

Combine like terms: b + -2b = -1b
-3 + -1b = 2b2

Solving
-3 + -1b = 2b2

Solving for variable 'b'.

Combine like terms: 2b2 + -2b2 = 0
-3 + -1b + -2b2 = 0

Factor out the Greatest Common Factor (GCF), '-1'.
-1(3 + b + 2b2) = 0

Ignore the factor -1.
Subproblem 1
Set the factor '(3 + b + 2b2)' equal to zero and attempt to solve:

Simplifying
3 + b + 2b2 = 0

Solving
3 + b + 2b2 = 0

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

Divide each side by '2'.
1.5 + 0.5b + b2 = 0

Move the constant term to the right:

Add '-1.5' to each side of the equation.
1.5 + 0.5b + -1.5 + b2 = 0 + -1.5

Reorder the terms:
1.5 + -1.5 + 0.5b + b2 = 0 + -1.5

Combine like terms: 1.5 + -1.5 = 0.0
0.0 + 0.5b + b2 = 0 + -1.5
0.5b + b2 = 0 + -1.5

Combine like terms: 0 + -1.5 = -1.5
0.5b + b2 = -1.5

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

Add '0.25' to each side of the equation.
0.5b + 0.25 + b2 = -1.5 + 0.25

Reorder the terms:
0.25 + 0.5b + b2 = -1.5 + 0.25

Combine like terms: -1.5 + 0.25 = -1.25
0.25 + 0.5b + b2 = -1.25

Factor a perfect square on the left side:
(b + 0.5)(b + 0.5) = -1.25

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.