2b-b^2-15=0

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Solution for 2b-b^2-15=0 equation:


Simplifying
2b + -1b2 + -15 = 0

Reorder the terms:
-15 + 2b + -1b2 = 0

Solving
-15 + 2b + -1b2 = 0

Solving for variable 'b'.

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

Divide each side by '-1'.
15 + -2b + b2 = 0

Move the constant term to the right:

Add '-15' to each side of the equation.
15 + -2b + -15 + b2 = 0 + -15

Reorder the terms:
15 + -15 + -2b + b2 = 0 + -15

Combine like terms: 15 + -15 = 0
0 + -2b + b2 = 0 + -15
-2b + b2 = 0 + -15

Combine like terms: 0 + -15 = -15
-2b + b2 = -15

The b term is -2b.  Take half its coefficient (-1).
Square it (1) and add it to both sides.

Add '1' to each side of the equation.
-2b + 1 + b2 = -15 + 1

Reorder the terms:
1 + -2b + b2 = -15 + 1

Combine like terms: -15 + 1 = -14
1 + -2b + b2 = -14

Factor a perfect square on the left side:
(b + -1)(b + -1) = -14

Can't calculate square root of the right side.

The solution to this equation could not be determined.

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