r^2-3r+4=r

Solution for r^2-3r+4=r equation:

Simplifying
r2 + -3r + 4 = r

Reorder the terms:
4 + -3r + r2 = r

Solving
4 + -3r + r2 = r

Solving for variable 'r'.

Reorder the terms:
4 + -3r + -1r + r2 = r + -1r

Combine like terms: -3r + -1r = -4r
4 + -4r + r2 = r + -1r

Combine like terms: r + -1r = 0
4 + -4r + r2 = 0

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

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

Simplifying
2 + -1r = 0

Solving
2 + -1r = 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 + -1r = 0 + -2

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

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

Divide each side by '-1'.
r = 2

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

Simplifying
2 + -1r = 0

Solving
2 + -1r = 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 + -1r = 0 + -2

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

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

Divide each side by '-1'.
r = 2

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