r^2+9r+9=3r

Solution for r^2+9r+9=3r equation:

Simplifying
r2 + 9r + 9 = 3r

Reorder the terms:
9 + 9r + r2 = 3r

Solving
9 + 9r + r2 = 3r

Solving for variable 'r'.

Reorder the terms:
9 + 9r + -3r + r2 = 3r + -3r

Combine like terms: 9r + -3r = 6r
9 + 6r + r2 = 3r + -3r

Combine like terms: 3r + -3r = 0
9 + 6r + r2 = 0

Factor a trinomial.
(3 + r)(3 + r) = 0

Subproblem 1
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
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 = {-3, -3}