3r^2+16r+16=0

Solution for 3r^2+16r+16=0 equation:

Simplifying
3r2 + 16r + 16 = 0

Reorder the terms:
16 + 16r + 3r2 = 0

Solving
16 + 16r + 3r2 = 0

Solving for variable 'r'.

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

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

Simplifying
4 + r = 0

Solving
4 + r = 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 + r = 0 + -4

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

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

Simplifying
r = -4
Subproblem 2
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
Solution
r = {-4, -1.333333333}