5+2.5z+z^2=0

Solution for 5+2.5z+z^2=0 equation:

Simplifying
5 + 2.5z + z2 = 0

Solving
5 + 2.5z + z2 = 0

Solving for variable 'z'.

Begin completing the square.

Move the constant term to the right:

Add '-5' to each side of the equation.
5 + 2.5z + -5 + z2 = 0 + -5

Reorder the terms:
5 + -5 + 2.5z + z2 = 0 + -5

Combine like terms: 5 + -5 = 0
0 + 2.5z + z2 = 0 + -5
2.5z + z2 = 0 + -5

Combine like terms: 0 + -5 = -5
2.5z + z2 = -5

The z term is 2.5z.  Take half its coefficient (1.25).
Square it (1.5625) and add it to both sides.

Add '1.5625' to each side of the equation.
2.5z + 1.5625 + z2 = -5 + 1.5625

Reorder the terms:
1.5625 + 2.5z + z2 = -5 + 1.5625

Combine like terms: -5 + 1.5625 = -3.4375
1.5625 + 2.5z + z2 = -3.4375

Factor a perfect square on the left side:
(z + 1.25)(z + 1.25) = -3.4375

Can't calculate square root of the right side.

The solution to this equation could not be determined.