4m^2+17m+18=

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

Simplifying
4m2 + 17m + 18 = 0

Reorder the terms:
18 + 17m + 4m2 = 0

Solving
18 + 17m + 4m2 = 0

Solving for variable 'm'.

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

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

Simplifying
9 + 4m = 0

Solving
9 + 4m = 0

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

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

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

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

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

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

Simplifying
2 + m = 0

Solving
2 + m = 0

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

Add '-2' to each side of the equation.
2 + -2 + m = 0 + -2

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

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

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