5*X^2-19*X+18=0

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

Simplifying
5X2 + -19X + 18 = 0

Reorder the terms:
18 + -19X + 5X2 = 0

Solving
18 + -19X + 5X2 = 0

Solving for variable 'X'.

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

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

Simplifying
9 + -5X = 0

Solving
9 + -5X = 0

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

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

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

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

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

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

Simplifying
2 + -1X = 0

Solving
2 + -1X = 0

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

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

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

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

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

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