r^2-2r-6=-6

Solution for r^2-2r-6=-6 equation:

Simplifying
r2 + -2r + -6 = -6

Reorder the terms:
-6 + -2r + r2 = -6

Add '6' to each side of the equation.
-6 + -2r + 6 + r2 = -6 + 6

Reorder the terms:
-6 + 6 + -2r + r2 = -6 + 6

Combine like terms: -6 + 6 = 0
0 + -2r + r2 = -6 + 6
-2r + r2 = -6 + 6

Combine like terms: -6 + 6 = 0
-2r + r2 = 0

Solving
-2r + r2 = 0

Solving for variable 'r'.

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

Subproblem 1
Set the factor 'r' equal to zero and attempt to solve:

Simplifying
r = 0

Solving
r = 0

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

Simplifying
r = 0
Subproblem 2
Set the factor '(-2 + r)' equal to zero and attempt to solve:

Simplifying
-2 + r = 0

Solving
-2 + r = 0

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

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

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

Combine like terms: 0 + 2 = 2
r = 2

Simplifying
r = 2
Solution
r = {0, 2}