14z^2+33z+18=0

Solution for 14z^2+33z+18=0 equation:

Simplifying
14z2 + 33z + 18 = 0

Reorder the terms:
18 + 33z + 14z2 = 0

Solving
18 + 33z + 14z2 = 0

Solving for variable 'z'.

Factor a trinomial.
(3 + 2z)(6 + 7z) = 0

Subproblem 1
Set the factor '(3 + 2z)' equal to zero and attempt to solve:

Simplifying
3 + 2z = 0

Solving
3 + 2z = 0

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

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

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

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

Divide each side by '2'.
z = -1.5

Simplifying
z = -1.5
Subproblem 2
Set the factor '(6 + 7z)' equal to zero and attempt to solve:

Simplifying
6 + 7z = 0

Solving
6 + 7z = 0

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

Add '-6' to each side of the equation.
6 + -6 + 7z = 0 + -6

Combine like terms: 6 + -6 = 0
0 + 7z = 0 + -6
7z = 0 + -6

Combine like terms: 0 + -6 = -6
7z = -6

Divide each side by '7'.
z = -0.8571428571

Simplifying
z = -0.8571428571
Solution
z = {-1.5, -0.8571428571}