x^2+8x+37=0

Solution for x^2+8x+37=0 equation:

Simplifying
x2 + 8x + 37 = 0

Reorder the terms:
37 + 8x + x2 = 0

Solving
37 + 8x + x2 = 0

Solving for variable 'x'.

Begin completing the square.

Move the constant term to the right:

Add '-37' to each side of the equation.
37 + 8x + -37 + x2 = 0 + -37

Reorder the terms:
37 + -37 + 8x + x2 = 0 + -37

Combine like terms: 37 + -37 = 0
0 + 8x + x2 = 0 + -37
8x + x2 = 0 + -37

Combine like terms: 0 + -37 = -37
8x + x2 = -37

The x term is 8x.  Take half its coefficient (4).
Square it (16) and add it to both sides.

Add '16' to each side of the equation.
8x + 16 + x2 = -37 + 16

Reorder the terms:
16 + 8x + x2 = -37 + 16

Combine like terms: -37 + 16 = -21
16 + 8x + x2 = -21

Factor a perfect square on the left side:
(x + 4)(x + 4) = -21

Can't calculate square root of the right side.

The solution to this equation could not be determined.