z^2+10z+43=0

Solution for z^2+10z+43=0 equation:

Simplifying
z2 + 10z + 43 = 0

Reorder the terms:
43 + 10z + z2 = 0

Solving
43 + 10z + z2 = 0

Solving for variable 'z'.

Begin completing the square.

Move the constant term to the right:

Add '-43' to each side of the equation.
43 + 10z + -43 + z2 = 0 + -43

Reorder the terms:
43 + -43 + 10z + z2 = 0 + -43

Combine like terms: 43 + -43 = 0
0 + 10z + z2 = 0 + -43
10z + z2 = 0 + -43

Combine like terms: 0 + -43 = -43
10z + z2 = -43

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 = -43 + 25

Reorder the terms:
25 + 10z + z2 = -43 + 25

Combine like terms: -43 + 25 = -18
25 + 10z + z2 = -18

Factor a perfect square on the left side:
(z + 5)(z + 5) = -18

Can't calculate square root of the right side.

The solution to this equation could not be determined.