(z^2+2z)+37=0

Solution for (z^2+2z)+37=0 equation:

Simplifying
(z2 + 2z) + 37 = 0

Reorder the terms:
(2z + z2) + 37 = 0

Remove parenthesis around (2z + z2)
2z + z2 + 37 = 0

Reorder the terms:
37 + 2z + z2 = 0

Solving
37 + 2z + z2 = 0

Solving for variable 'z'.

Begin completing the square.

Move the constant term to the right:

Add '-37' to each side of the equation.
37 + 2z + -37 + z2 = 0 + -37

Reorder the terms:
37 + -37 + 2z + z2 = 0 + -37

Combine like terms: 37 + -37 = 0
0 + 2z + z2 = 0 + -37
2z + z2 = 0 + -37

Combine like terms: 0 + -37 = -37
2z + z2 = -37

The z term is 2z.  Take half its coefficient (1).
Square it (1) and add it to both sides.

Add '1' to each side of the equation.
2z + 1 + z2 = -37 + 1

Reorder the terms:
1 + 2z + z2 = -37 + 1

Combine like terms: -37 + 1 = -36
1 + 2z + z2 = -36

Factor a perfect square on the left side:
(z + 1)(z + 1) = -36

Can't calculate square root of the right side.

The solution to this equation could not be determined.