-2b(b+4)=11

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


Simplifying
-2b(b + 4) = 11

Reorder the terms:
-2b(4 + b) = 11
(4 * -2b + b * -2b) = 11
(-8b + -2b2) = 11

Solving
-8b + -2b2 = 11

Solving for variable 'b'.

Reorder the terms:
-11 + -8b + -2b2 = 11 + -11

Combine like terms: 11 + -11 = 0
-11 + -8b + -2b2 = 0

Factor out the Greatest Common Factor (GCF), '-1'.
-1(11 + 8b + 2b2) = 0

Ignore the factor -1.

Subproblem 1
Set the factor '(11 + 8b + 2b2)' equal to zero and attempt to solve:

Simplifying
11 + 8b + 2b2 = 0

Solving
11 + 8b + 2b2 = 0

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

Divide each side by '2'.
5.5 + 4b + b2 = 0

Move the constant term to the right:

Add '-5.5' to each side of the equation.
5.5 + 4b + -5.5 + b2 = 0 + -5.5

Reorder the terms:
5.5 + -5.5 + 4b + b2 = 0 + -5.5

Combine like terms: 5.5 + -5.5 = 0.0
0.0 + 4b + b2 = 0 + -5.5
4b + b2 = 0 + -5.5

Combine like terms: 0 + -5.5 = -5.5
4b + b2 = -5.5

The b term is 4b.  Take half its coefficient (2).
Square it (4) and add it to both sides.

Add '4' to each side of the equation.
4b + 4 + b2 = -5.5 + 4

Reorder the terms:
4 + 4b + b2 = -5.5 + 4

Combine like terms: -5.5 + 4 = -1.5
4 + 4b + b2 = -1.5

Factor a perfect square on the left side:
(b + 2)(b + 2) = -1.5

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.

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