0=33+2r+r^2

Solution for 0=33+2r+r^2 equation:

Simplifying
0 = 33 + 2r + r2

Solving
0 = 33 + 2r + r2

Solving for variable 'r'.

Combine like terms: 0 + -33 = -33
-33 + -2r + -1r2 = 33 + 2r + r2 + -33 + -2r + -1r2

Reorder the terms:
-33 + -2r + -1r2 = 33 + -33 + 2r + -2r + r2 + -1r2

Combine like terms: 33 + -33 = 0
-33 + -2r + -1r2 = 0 + 2r + -2r + r2 + -1r2
-33 + -2r + -1r2 = 2r + -2r + r2 + -1r2

Combine like terms: 2r + -2r = 0
-33 + -2r + -1r2 = 0 + r2 + -1r2
-33 + -2r + -1r2 = r2 + -1r2

Combine like terms: r2 + -1r2 = 0
-33 + -2r + -1r2 = 0

Factor out the Greatest Common Factor (GCF), '-1'.
-1(33 + 2r + r2) = 0

Ignore the factor -1.
Subproblem 1
Set the factor '(33 + 2r + r2)' equal to zero and attempt to solve:

Simplifying
33 + 2r + r2 = 0

Solving
33 + 2r + r2 = 0

Begin completing the square.

Move the constant term to the right:

Add '-33' to each side of the equation.
33 + 2r + -33 + r2 = 0 + -33

Reorder the terms:
33 + -33 + 2r + r2 = 0 + -33

Combine like terms: 33 + -33 = 0
0 + 2r + r2 = 0 + -33
2r + r2 = 0 + -33

Combine like terms: 0 + -33 = -33
2r + r2 = -33

The r term is 2r.  Take half its coefficient (1).
Square it (1) and add it to both sides.

Add '1' to each side of the equation.
2r + 1 + r2 = -33 + 1

Reorder the terms:
1 + 2r + r2 = -33 + 1

Combine like terms: -33 + 1 = -32
1 + 2r + r2 = -32

Factor a perfect square on the left side:
(r + 1)(r + 1) = -32

Can't calculate square root of the right side.

The solution to this equation could not be determined.

This subproblem is being ignored because a solution could not be determined.

The solution to this equation could not be determined.