-2b(b-4)=14

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Solution for -2b(b-4)=14 equation: 


Simplifying
-2b(b + -4) = 14

Reorder the terms:
-2b(-4 + b) = 14
(-4 * -2b + b * -2b) = 14
(8b + -2b2) = 14

Solving
8b + -2b2 = 14

Solving for variable 'b'.

Reorder the terms:
-14 + 8b + -2b2 = 14 + -14

Combine like terms: 14 + -14 = 0
-14 + 8b + -2b2 = 0

Factor out the Greatest Common Factor (GCF), '2'.
2(-7 + 4b + -1b2) = 0

Ignore the factor 2.

Subproblem 1
Set the factor '(-7 + 4b + -1b2)' equal to zero and attempt to solve:

Simplifying
-7 + 4b + -1b2 = 0

Solving
-7 + 4b + -1b2 = 0

Begin completing the square.  Divide all terms by
-1 the coefficient of the squared term: 

Divide each side by '-1'.
7 + -4b + b2 = 0

Move the constant term to the right:

Add '-7' to each side of the equation.
7 + -4b + -7 + b2 = 0 + -7

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

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

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

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 = -7 + 4

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

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

Factor a perfect square on the left side:
(b + -2)(b + -2) = -3

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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