-2b(2b+3)+(5b-6)=0

Solution for -2b(2b+3)+(5b-6)=0 equation:

Simplifying
-2b(2b + 3) + (5b + -6) = 0

Reorder the terms:
-2b(3 + 2b) + (5b + -6) = 0
(3 * -2b + 2b * -2b) + (5b + -6) = 0
(-6b + -4b2) + (5b + -6) = 0

Reorder the terms:
-6b + -4b2 + (-6 + 5b) = 0

Remove parenthesis around (-6 + 5b)
-6b + -4b2 + -6 + 5b = 0

Reorder the terms:
-6 + -6b + 5b + -4b2 = 0

Combine like terms: -6b + 5b = -1b
-6 + -1b + -4b2 = 0

Solving
-6 + -1b + -4b2 = 0

Solving for variable 'b'.

Factor out the Greatest Common Factor (GCF), '-1'.
-1(6 + b + 4b2) = 0

Ignore the factor -1.
Subproblem 1
Set the factor '(6 + b + 4b2)' equal to zero and attempt to solve:

Simplifying
6 + b + 4b2 = 0

Solving
6 + b + 4b2 = 0

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

Divide each side by '4'.
1.5 + 0.25b + b2 = 0

Move the constant term to the right:

Add '-1.5' to each side of the equation.
1.5 + 0.25b + -1.5 + b2 = 0 + -1.5

Reorder the terms:
1.5 + -1.5 + 0.25b + b2 = 0 + -1.5

Combine like terms: 1.5 + -1.5 = 0.0
0.0 + 0.25b + b2 = 0 + -1.5
0.25b + b2 = 0 + -1.5

Combine like terms: 0 + -1.5 = -1.5
0.25b + 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.
0.25b + 0.25 + b2 = -1.5 + 0.25

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

Combine like terms: -1.5 + 0.25 = -1.25
0.25 + 0.25b + 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.