2r^2-16r+16=-r^2

Solution for 2r^2-16r+16=-r^2 equation:

Simplifying
2r2 + -16r + 16 = -1r2

Reorder the terms:
16 + -16r + 2r2 = -1r2

Solving
16 + -16r + 2r2 = -1r2

Solving for variable 'r'.

Combine like terms: 2r2 + r2 = 3r2
16 + -16r + 3r2 = -1r2 + r2

Combine like terms: -1r2 + r2 = 0
16 + -16r + 3r2 = 0

Factor a trinomial.
(4 + -3r)(4 + -1r) = 0

Subproblem 1
Set the factor '(4 + -3r)' equal to zero and attempt to solve:

Simplifying
4 + -3r = 0

Solving
4 + -3r = 0

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

Add '-4' to each side of the equation.
4 + -4 + -3r = 0 + -4

Combine like terms: 4 + -4 = 0
0 + -3r = 0 + -4
-3r = 0 + -4

Combine like terms: 0 + -4 = -4
-3r = -4

Divide each side by '-3'.
r = 1.333333333

Simplifying
r = 1.333333333
Subproblem 2
Set the factor '(4 + -1r)' equal to zero and attempt to solve:

Simplifying
4 + -1r = 0

Solving
4 + -1r = 0

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

Add '-4' to each side of the equation.
4 + -4 + -1r = 0 + -4

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

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

Divide each side by '-1'.
r = 4

Simplifying
r = 4
Solution
r = {1.333333333, 4}