z^2+6z+48=0

Solution for z^2+6z+48=0 equation:

Simplifying
z2 + 6z + 48 = 0

Reorder the terms:
48 + 6z + z2 = 0

Solving
48 + 6z + z2 = 0

Solving for variable 'z'.

Begin completing the square.

Move the constant term to the right:

Add '-48' to each side of the equation.
48 + 6z + -48 + z2 = 0 + -48

Reorder the terms:
48 + -48 + 6z + z2 = 0 + -48

Combine like terms: 48 + -48 = 0
0 + 6z + z2 = 0 + -48
6z + z2 = 0 + -48

Combine like terms: 0 + -48 = -48
6z + z2 = -48

The z term is 6z.  Take half its coefficient (3).
Square it (9) and add it to both sides.

Add '9' to each side of the equation.
6z + 9 + z2 = -48 + 9

Reorder the terms:
9 + 6z + z2 = -48 + 9

Combine like terms: -48 + 9 = -39
9 + 6z + z2 = -39

Factor a perfect square on the left side:
(z + 3)(z + 3) = -39

Can't calculate square root of the right side.

The solution to this equation could not be determined.