-4b(b-3)+2(3b-5)=11

Solution for -4b(b-3)+2(3b-5)=11 equation:

Simplifying
-4b(b + -3) + 2(3b + -5) = 11

Reorder the terms:
-4b(-3 + b) + 2(3b + -5) = 11
(-3 * -4b + b * -4b) + 2(3b + -5) = 11
(12b + -4b2) + 2(3b + -5) = 11

Reorder the terms:
12b + -4b2 + 2(-5 + 3b) = 11
12b + -4b2 + (-5 * 2 + 3b * 2) = 11
12b + -4b2 + (-10 + 6b) = 11

Reorder the terms:
-10 + 12b + 6b + -4b2 = 11

Combine like terms: 12b + 6b = 18b
-10 + 18b + -4b2 = 11

Solving
-10 + 18b + -4b2 = 11

Solving for variable 'b'.

Reorder the terms:
-10 + -11 + 18b + -4b2 = 11 + -11

Combine like terms: -10 + -11 = -21
-21 + 18b + -4b2 = 11 + -11

Combine like terms: 11 + -11 = 0
-21 + 18b + -4b2 = 0

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

Divide each side by '-4'.
5.25 + -4.5b + b2 = 0

Move the constant term to the right:

Add '-5.25' to each side of the equation.
5.25 + -4.5b + -5.25 + b2 = 0 + -5.25

Reorder the terms:
5.25 + -5.25 + -4.5b + b2 = 0 + -5.25

Combine like terms: 5.25 + -5.25 = 0.00
0.00 + -4.5b + b2 = 0 + -5.25
-4.5b + b2 = 0 + -5.25

Combine like terms: 0 + -5.25 = -5.25
-4.5b + b2 = -5.25

The b term is -4.5b.  Take half its coefficient (-2.25).
Square it (5.0625) and add it to both sides.

Add '5.0625' to each side of the equation.
-4.5b + 5.0625 + b2 = -5.25 + 5.0625

Reorder the terms:
5.0625 + -4.5b + b2 = -5.25 + 5.0625

Combine like terms: -5.25 + 5.0625 = -0.1875
5.0625 + -4.5b + b2 = -0.1875

Factor a perfect square on the left side:
(b + -2.25)(b + -2.25) = -0.1875

Can't calculate square root of the right side.

The solution to this equation could not be determined.