r^2+8r+52=0

Solution for r^2+8r+52=0 equation:

Simplifying
r2 + 8r + 52 = 0

Reorder the terms:
52 + 8r + r2 = 0

Solving
52 + 8r + r2 = 0

Solving for variable 'r'.

Begin completing the square.

Move the constant term to the right:

Add '-52' to each side of the equation.
52 + 8r + -52 + r2 = 0 + -52

Reorder the terms:
52 + -52 + 8r + r2 = 0 + -52

Combine like terms: 52 + -52 = 0
0 + 8r + r2 = 0 + -52
8r + r2 = 0 + -52

Combine like terms: 0 + -52 = -52
8r + r2 = -52

The r term is 8r.  Take half its coefficient (4).
Square it (16) and add it to both sides.

Add '16' to each side of the equation.
8r + 16 + r2 = -52 + 16

Reorder the terms:
16 + 8r + r2 = -52 + 16

Combine like terms: -52 + 16 = -36
16 + 8r + r2 = -36

Factor a perfect square on the left side:
(r + 4)(r + 4) = -36

Can't calculate square root of the right side.

The solution to this equation could not be determined.