b^2+2b+13=0

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Solution for b^2+2b+13=0 equation:


Simplifying
b2 + 2b + 13 = 0

Reorder the terms:
13 + 2b + b2 = 0

Solving
13 + 2b + b2 = 0

Solving for variable 'b'.

Begin completing the square.

Move the constant term to the right:

Add '-13' to each side of the equation.
13 + 2b + -13 + b2 = 0 + -13

Reorder the terms:
13 + -13 + 2b + b2 = 0 + -13

Combine like terms: 13 + -13 = 0
0 + 2b + b2 = 0 + -13
2b + b2 = 0 + -13

Combine like terms: 0 + -13 = -13
2b + b2 = -13

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 = -13 + 1

Reorder the terms:
1 + 2b + b2 = -13 + 1

Combine like terms: -13 + 1 = -12
1 + 2b + b2 = -12

Factor a perfect square on the left side:
(b + 1)(b + 1) = -12

Can't calculate square root of the right side.

The solution to this equation could not be determined.

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