b(b-4)=-15+b

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Solution for b(b-4)=-15+b equation:


Simplifying
b(b + -4) = -15 + b

Reorder the terms:
b(-4 + b) = -15 + b
(-4 * b + b * b) = -15 + b
(-4b + b2) = -15 + b

Solving
-4b + b2 = -15 + b

Solving for variable 'b'.

Reorder the terms:
15 + -4b + -1b + b2 = -15 + b + 15 + -1b

Combine like terms: -4b + -1b = -5b
15 + -5b + b2 = -15 + b + 15 + -1b

Reorder the terms:
15 + -5b + b2 = -15 + 15 + b + -1b

Combine like terms: -15 + 15 = 0
15 + -5b + b2 = 0 + b + -1b
15 + -5b + b2 = b + -1b

Combine like terms: b + -1b = 0
15 + -5b + b2 = 0

Begin completing the square.

Move the constant term to the right:

Add '-15' to each side of the equation.
15 + -5b + -15 + b2 = 0 + -15

Reorder the terms:
15 + -15 + -5b + b2 = 0 + -15

Combine like terms: 15 + -15 = 0
0 + -5b + b2 = 0 + -15
-5b + b2 = 0 + -15

Combine like terms: 0 + -15 = -15
-5b + b2 = -15

The b term is -5b.  Take half its coefficient (-2.5).
Square it (6.25) and add it to both sides.

Add '6.25' to each side of the equation.
-5b + 6.25 + b2 = -15 + 6.25

Reorder the terms:
6.25 + -5b + b2 = -15 + 6.25

Combine like terms: -15 + 6.25 = -8.75
6.25 + -5b + b2 = -8.75

Factor a perfect square on the left side:
(b + -2.5)(b + -2.5) = -8.75

Can't calculate square root of the right side.

The solution to this equation could not be determined.

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