b^2+12b+59=0

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Solution for b^2+12b+59=0 equation:


Simplifying
b2 + 12b + 59 = 0

Reorder the terms:
59 + 12b + b2 = 0

Solving
59 + 12b + b2 = 0

Solving for variable 'b'.

Begin completing the square.

Move the constant term to the right:

Add '-59' to each side of the equation.
59 + 12b + -59 + b2 = 0 + -59

Reorder the terms:
59 + -59 + 12b + b2 = 0 + -59

Combine like terms: 59 + -59 = 0
0 + 12b + b2 = 0 + -59
12b + b2 = 0 + -59

Combine like terms: 0 + -59 = -59
12b + b2 = -59

The b term is 12b.  Take half its coefficient (6).
Square it (36) and add it to both sides.

Add '36' to each side of the equation.
12b + 36 + b2 = -59 + 36

Reorder the terms:
36 + 12b + b2 = -59 + 36

Combine like terms: -59 + 36 = -23
36 + 12b + b2 = -23

Factor a perfect square on the left side:
(b + 6)(b + 6) = -23

Can't calculate square root of the right side.

The solution to this equation could not be determined.

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