x^2+7x+37=0

Solution for x^2+7x+37=0 equation:

Simplifying
x2 + 7x + 37 = 0

Reorder the terms:
37 + 7x + x2 = 0

Solving
37 + 7x + 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 + 7x + -37 + x2 = 0 + -37

Reorder the terms:
37 + -37 + 7x + x2 = 0 + -37

Combine like terms: 37 + -37 = 0
0 + 7x + x2 = 0 + -37
7x + x2 = 0 + -37

Combine like terms: 0 + -37 = -37
7x + x2 = -37

The x term is 7x.  Take half its coefficient (3.5).
Square it (12.25) and add it to both sides.

Add '12.25' to each side of the equation.
7x + 12.25 + x2 = -37 + 12.25

Reorder the terms:
12.25 + 7x + x2 = -37 + 12.25

Combine like terms: -37 + 12.25 = -24.75
12.25 + 7x + x2 = -24.75

Factor a perfect square on the left side:
(x + 3.5)(x + 3.5) = -24.75

Can't calculate square root of the right side.

The solution to this equation could not be determined.