2z+36=-z^2

Solution for 2z+36=-z^2 equation:

Simplifying
2z + 36 = -1z2

Reorder the terms:
36 + 2z = -1z2

Solving
36 + 2z = -1z2

Solving for variable 'z'.

Combine like terms: -1z2 + z2 = 0
36 + 2z + z2 = 0

Begin completing the square.

Move the constant term to the right:

Add '-36' to each side of the equation.
36 + 2z + -36 + z2 = 0 + -36

Reorder the terms:
36 + -36 + 2z + z2 = 0 + -36

Combine like terms: 36 + -36 = 0
0 + 2z + z2 = 0 + -36
2z + z2 = 0 + -36

Combine like terms: 0 + -36 = -36
2z + z2 = -36

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 = -36 + 1

Reorder the terms:
1 + 2z + z2 = -36 + 1

Combine like terms: -36 + 1 = -35
1 + 2z + z2 = -35

Factor a perfect square on the left side:
(z + 1)(z + 1) = -35

Can't calculate square root of the right side.

The solution to this equation could not be determined.