5z^2-19z+18=0

Solution for 5z^2-19z+18=0 equation:

Simplifying
5z2 + -19z + 18 = 0

Reorder the terms:
18 + -19z + 5z2 = 0

Solving
18 + -19z + 5z2 = 0

Solving for variable 'z'.

Factor a trinomial.
(9 + -5z)(2 + -1z) = 0

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

Simplifying
9 + -5z = 0

Solving
9 + -5z = 0

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

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

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

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

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

Simplifying
z = 1.8
Subproblem 2
Set the factor '(2 + -1z)' equal to zero and attempt to solve:

Simplifying
2 + -1z = 0

Solving
2 + -1z = 0

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

Add '-2' to each side of the equation.
2 + -2 + -1z = 0 + -2

Combine like terms: 2 + -2 = 0
0 + -1z = 0 + -2
-1z = 0 + -2

Combine like terms: 0 + -2 = -2
-1z = -2

Divide each side by '-1'.
z = 2

Simplifying
z = 2
Solution
z = {1.8, 2}