0=b^2-8b+112

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Solution for 0=b^2-8b+112 equation:


Simplifying
0 = b2 + -8b + 112

Reorder the terms:
0 = 112 + -8b + b2

Solving
0 = 112 + -8b + b2

Solving for variable 'b'.

Combine like terms: 0 + -112 = -112
-112 + 8b + -1b2 = 112 + -8b + b2 + -112 + 8b + -1b2

Reorder the terms:
-112 + 8b + -1b2 = 112 + -112 + -8b + 8b + b2 + -1b2

Combine like terms: 112 + -112 = 0
-112 + 8b + -1b2 = 0 + -8b + 8b + b2 + -1b2
-112 + 8b + -1b2 = -8b + 8b + b2 + -1b2

Combine like terms: -8b + 8b = 0
-112 + 8b + -1b2 = 0 + b2 + -1b2
-112 + 8b + -1b2 = b2 + -1b2

Combine like terms: b2 + -1b2 = 0
-112 + 8b + -1b2 = 0

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

Divide each side by '-1'.
112 + -8b + b2 = 0

Move the constant term to the right:

Add '-112' to each side of the equation.
112 + -8b + -112 + b2 = 0 + -112

Reorder the terms:
112 + -112 + -8b + b2 = 0 + -112

Combine like terms: 112 + -112 = 0
0 + -8b + b2 = 0 + -112
-8b + b2 = 0 + -112

Combine like terms: 0 + -112 = -112
-8b + b2 = -112

The b term is -8b.  Take half its coefficient (-4).
Square it (16) and add it to both sides.

Add '16' to each side of the equation.
-8b + 16 + b2 = -112 + 16

Reorder the terms:
16 + -8b + b2 = -112 + 16

Combine like terms: -112 + 16 = -96
16 + -8b + b2 = -96

Factor a perfect square on the left side:
(b + -4)(b + -4) = -96

Can't calculate square root of the right side.

The solution to this equation could not be determined.

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