r^2-3r+2=2

Solution for r^2-3r+2=2 equation:

Simplifying
r2 + -3r + 2 = 2

Reorder the terms:
2 + -3r + r2 = 2

Add '-2' to each side of the equation.
2 + -3r + -2 + r2 = 2 + -2

Reorder the terms:
2 + -2 + -3r + r2 = 2 + -2

Combine like terms: 2 + -2 = 0
0 + -3r + r2 = 2 + -2
-3r + r2 = 2 + -2

Combine like terms: 2 + -2 = 0
-3r + r2 = 0

Solving
-3r + r2 = 0

Solving for variable 'r'.

Factor out the Greatest Common Factor (GCF), 'r'.
r(-3 + 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 '(-3 + r)' equal to zero and attempt to solve:

Simplifying
-3 + r = 0

Solving
-3 + r = 0

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

Add '3' to each side of the equation.
-3 + 3 + r = 0 + 3

Combine like terms: -3 + 3 = 0
0 + r = 0 + 3
r = 0 + 3

Combine like terms: 0 + 3 = 3
r = 3

Simplifying
r = 3
Solution
r = {0, 3}