z^2+10z+36=0

Solution for z^2+10z+36=0 equation:

Simplifying
z2 + 10z + 36 = 0

Reorder the terms:
36 + 10z + z2 = 0

Solving
36 + 10z + z2 = 0

Solving for variable 'z'.

Begin completing the square.

Move the constant term to the right:

Add '-36' to each side of the equation.
36 + 10z + -36 + z2 = 0 + -36

Reorder the terms:
36 + -36 + 10z + z2 = 0 + -36

Combine like terms: 36 + -36 = 0
0 + 10z + z2 = 0 + -36
10z + z2 = 0 + -36

Combine like terms: 0 + -36 = -36
10z + z2 = -36

The z term is 10z.  Take half its coefficient (5).
Square it (25) and add it to both sides.

Add '25' to each side of the equation.
10z + 25 + z2 = -36 + 25

Reorder the terms:
25 + 10z + z2 = -36 + 25

Combine like terms: -36 + 25 = -11
25 + 10z + z2 = -11

Factor a perfect square on the left side:
(z + 5)(z + 5) = -11

Can't calculate square root of the right side.

The solution to this equation could not be determined.