9r^2+38r+8=0

Solution for 9r^2+38r+8=0 equation:

Simplifying
9r2 + 38r + 8 = 0

Reorder the terms:
8 + 38r + 9r2 = 0

Solving
8 + 38r + 9r2 = 0

Solving for variable 'r'.

Factor a trinomial.
(4 + r)(2 + 9r) = 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 '(2 + 9r)' equal to zero and attempt to solve:

Simplifying
2 + 9r = 0

Solving
2 + 9r = 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 + 9r = 0 + -2

Combine like terms: 2 + -2 = 0
0 + 9r = 0 + -2
9r = 0 + -2

Combine like terms: 0 + -2 = -2
9r = -2

Divide each side by '9'.
r = -0.2222222222

Simplifying
r = -0.2222222222
Solution
r = {-4, -0.2222222222}