r^2-12r+36=-r^2+12r-36

Solution for r^2-12r+36=-r^2+12r-36 equation:

Simplifying
r2 + -12r + 36 = -1r2 + 12r + -36

Reorder the terms:
36 + -12r + r2 = -1r2 + 12r + -36

Reorder the terms:
36 + -12r + r2 = -36 + 12r + -1r2

Solving
36 + -12r + r2 = -36 + 12r + -1r2

Solving for variable 'r'.

Reorder the terms:
36 + 36 + -12r + -12r + r2 + r2 = -36 + 12r + -1r2 + 36 + -12r + r2

Combine like terms: 36 + 36 = 72
72 + -12r + -12r + r2 + r2 = -36 + 12r + -1r2 + 36 + -12r + r2

Combine like terms: -12r + -12r = -24r
72 + -24r + r2 + r2 = -36 + 12r + -1r2 + 36 + -12r + r2

Combine like terms: r2 + r2 = 2r2
72 + -24r + 2r2 = -36 + 12r + -1r2 + 36 + -12r + r2

Reorder the terms:
72 + -24r + 2r2 = -36 + 36 + 12r + -12r + -1r2 + r2

Combine like terms: -36 + 36 = 0
72 + -24r + 2r2 = 0 + 12r + -12r + -1r2 + r2
72 + -24r + 2r2 = 12r + -12r + -1r2 + r2

Combine like terms: 12r + -12r = 0
72 + -24r + 2r2 = 0 + -1r2 + r2
72 + -24r + 2r2 = -1r2 + r2

Combine like terms: -1r2 + r2 = 0
72 + -24r + 2r2 = 0

Factor out the Greatest Common Factor (GCF), '2'.
2(36 + -12r + r2) = 0

Factor a trinomial.
2((6 + -1r)(6 + -1r)) = 0

Ignore the factor 2.
Subproblem 1
Set the factor '(6 + -1r)' equal to zero and attempt to solve:

Simplifying
6 + -1r = 0

Solving
6 + -1r = 0

Move all terms containing r to the left, all other terms to the right.

Add '-6' to each side of the equation.
6 + -6 + -1r = 0 + -6

Combine like terms: 6 + -6 = 0
0 + -1r = 0 + -6
-1r = 0 + -6

Combine like terms: 0 + -6 = -6
-1r = -6

Divide each side by '-1'.
r = 6

Simplifying
r = 6
Subproblem 2
Set the factor '(6 + -1r)' equal to zero and attempt to solve:

Simplifying
6 + -1r = 0

Solving
6 + -1r = 0

Move all terms containing r to the left, all other terms to the right.

Add '-6' to each side of the equation.
6 + -6 + -1r = 0 + -6

Combine like terms: 6 + -6 = 0
0 + -1r = 0 + -6
-1r = 0 + -6

Combine like terms: 0 + -6 = -6
-1r = -6

Divide each side by '-1'.
r = 6

Simplifying
r = 6
Solution
r = {6, 6}