15f^2+37f+18=0

Solution for 15f^2+37f+18=0 equation:

Simplifying
15f2 + 37f + 18 = 0

Reorder the terms:
18 + 37f + 15f2 = 0

Solving
18 + 37f + 15f2 = 0

Solving for variable 'f'.

Factor a trinomial.
(9 + 5f)(2 + 3f) = 0

Subproblem 1
Set the factor '(9 + 5f)' equal to zero and attempt to solve:

Simplifying
9 + 5f = 0

Solving
9 + 5f = 0

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

Add '-9' to each side of the equation.
9 + -9 + 5f = 0 + -9

Combine like terms: 9 + -9 = 0
0 + 5f = 0 + -9
5f = 0 + -9

Combine like terms: 0 + -9 = -9
5f = -9

Divide each side by '5'.
f = -1.8

Simplifying
f = -1.8
Subproblem 2
Set the factor '(2 + 3f)' equal to zero and attempt to solve:

Simplifying
2 + 3f = 0

Solving
2 + 3f = 0

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

Add '-2' to each side of the equation.
2 + -2 + 3f = 0 + -2

Combine like terms: 2 + -2 = 0
0 + 3f = 0 + -2
3f = 0 + -2

Combine like terms: 0 + -2 = -2
3f = -2

Divide each side by '3'.
f = -0.6666666667

Simplifying
f = -0.6666666667
Solution
f = {-1.8, -0.6666666667}