b^2+4b+23=-10

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Solution for b^2+4b+23=-10 equation: 


Simplifying
b2 + 4b + 23 = -10

Reorder the terms:
23 + 4b + b2 = -10

Solving
23 + 4b + b2 = -10

Solving for variable 'b'.

Reorder the terms:
23 + 10 + 4b + b2 = -10 + 10

Combine like terms: 23 + 10 = 33
33 + 4b + b2 = -10 + 10

Combine like terms: -10 + 10 = 0
33 + 4b + b2 = 0

Begin completing the square.

Move the constant term to the right:

Add '-33' to each side of the equation.
33 + 4b + -33 + b2 = 0 + -33

Reorder the terms:
33 + -33 + 4b + b2 = 0 + -33

Combine like terms: 33 + -33 = 0
0 + 4b + b2 = 0 + -33
4b + b2 = 0 + -33

Combine like terms: 0 + -33 = -33
4b + b2 = -33

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 = -33 + 4

Reorder the terms:
4 + 4b + b2 = -33 + 4

Combine like terms: -33 + 4 = -29
4 + 4b + b2 = -29

Factor a perfect square on the left side:
(b + 2)(b + 2) = -29

Can't calculate square root of the right side.

The solution to this equation could not be determined.

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