0=b^2-4b+32

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Solution for 0=b^2-4b+32 equation:


Simplifying
0 = b2 + -4b + 32

Reorder the terms:
0 = 32 + -4b + b2

Solving
0 = 32 + -4b + b2

Solving for variable 'b'.

Combine like terms: 0 + -32 = -32
-32 + 4b + -1b2 = 32 + -4b + b2 + -32 + 4b + -1b2

Reorder the terms:
-32 + 4b + -1b2 = 32 + -32 + -4b + 4b + b2 + -1b2

Combine like terms: 32 + -32 = 0
-32 + 4b + -1b2 = 0 + -4b + 4b + b2 + -1b2
-32 + 4b + -1b2 = -4b + 4b + b2 + -1b2

Combine like terms: -4b + 4b = 0
-32 + 4b + -1b2 = 0 + b2 + -1b2
-32 + 4b + -1b2 = b2 + -1b2

Combine like terms: b2 + -1b2 = 0
-32 + 4b + -1b2 = 0

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

Divide each side by '-1'.
32 + -4b + b2 = 0

Move the constant term to the right:

Add '-32' to each side of the equation.
32 + -4b + -32 + b2 = 0 + -32

Reorder the terms:
32 + -32 + -4b + b2 = 0 + -32

Combine like terms: 32 + -32 = 0
0 + -4b + b2 = 0 + -32
-4b + b2 = 0 + -32

Combine like terms: 0 + -32 = -32
-4b + b2 = -32

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 = -32 + 4

Reorder the terms:
4 + -4b + b2 = -32 + 4

Combine like terms: -32 + 4 = -28
4 + -4b + b2 = -28

Factor a perfect square on the left side:
(b + -2)(b + -2) = -28

Can't calculate square root of the right side.

The solution to this equation could not be determined.

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