-2b(3b+2)+(7b-6)=0

Solution for -2b(3b+2)+(7b-6)=0 equation:

Simplifying
-2b(3b + 2) + (7b + -6) = 0

Reorder the terms:
-2b(2 + 3b) + (7b + -6) = 0
(2 * -2b + 3b * -2b) + (7b + -6) = 0
(-4b + -6b2) + (7b + -6) = 0

Reorder the terms:
-4b + -6b2 + (-6 + 7b) = 0

Remove parenthesis around (-6 + 7b)
-4b + -6b2 + -6 + 7b = 0

Reorder the terms:
-6 + -4b + 7b + -6b2 = 0

Combine like terms: -4b + 7b = 3b
-6 + 3b + -6b2 = 0

Solving
-6 + 3b + -6b2 = 0

Solving for variable 'b'.

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

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

Simplifying
-2 + b + -2b2 = 0

Solving
-2 + b + -2b2 = 0

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

Divide each side by '-2'.
1 + -0.5b + b2 = 0

Move the constant term to the right:

Add '-1' to each side of the equation.
1 + -0.5b + -1 + b2 = 0 + -1

Reorder the terms:
1 + -1 + -0.5b + b2 = 0 + -1

Combine like terms: 1 + -1 = 0
0 + -0.5b + b2 = 0 + -1
-0.5b + b2 = 0 + -1

Combine like terms: 0 + -1 = -1
-0.5b + b2 = -1

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 + 0.25

Reorder the terms:
0.25 + -0.5b + b2 = -1 + 0.25

Combine like terms: -1 + 0.25 = -0.75
0.25 + -0.5b + b2 = -0.75

Factor a perfect square on the left side:
(b + 0.5)(b + 0.5) = -0.75

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.