r^2+5r+34=0

Solution for r^2+5r+34=0 equation:

Simplifying
r2 + 5r + 34 = 0

Reorder the terms:
34 + 5r + r2 = 0

Solving
34 + 5r + r2 = 0

Solving for variable 'r'.

Begin completing the square.

Move the constant term to the right:

Add '-34' to each side of the equation.
34 + 5r + -34 + r2 = 0 + -34

Reorder the terms:
34 + -34 + 5r + r2 = 0 + -34

Combine like terms: 34 + -34 = 0
0 + 5r + r2 = 0 + -34
5r + r2 = 0 + -34

Combine like terms: 0 + -34 = -34
5r + r2 = -34

The r term is 5r.  Take half its coefficient (2.5).
Square it (6.25) and add it to both sides.

Add '6.25' to each side of the equation.
5r + 6.25 + r2 = -34 + 6.25

Reorder the terms:
6.25 + 5r + r2 = -34 + 6.25

Combine like terms: -34 + 6.25 = -27.75
6.25 + 5r + r2 = -27.75

Factor a perfect square on the left side:
(r + 2.5)(r + 2.5) = -27.75

Can't calculate square root of the right side.

The solution to this equation could not be determined.