4r^2+17r+18=

Solution for 4r^2+17r+18= equation:

Simplifying
4r2 + 17r + 18 = 0

Reorder the terms:
18 + 17r + 4r2 = 0

Solving
18 + 17r + 4r2 = 0

Solving for variable 'r'.

Factor a trinomial.
(9 + 4r)(2 + r) = 0

Subproblem 1
Set the factor '(9 + 4r)' equal to zero and attempt to solve:

Simplifying
9 + 4r = 0

Solving
9 + 4r = 0

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

Add '-9' to each side of the equation.
9 + -9 + 4r = 0 + -9

Combine like terms: 9 + -9 = 0
0 + 4r = 0 + -9
4r = 0 + -9

Combine like terms: 0 + -9 = -9
4r = -9

Divide each side by '4'.
r = -2.25

Simplifying
r = -2.25
Subproblem 2
Set the factor '(2 + r)' equal to zero and attempt to solve:

Simplifying
2 + r = 0

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

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

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

Simplifying
r = -2
Solution
r = {-2.25, -2}