27X^2-19X-8=0

Solution for 27X^2-19X-8=0 equation:

Simplifying
27X2 + -19X + -8 = 0

Reorder the terms:
-8 + -19X + 27X2 = 0

Solving
-8 + -19X + 27X2 = 0

Solving for variable 'X'.

Factor a trinomial.
(-8 + -27X)(1 + -1X) = 0

Subproblem 1
Set the factor '(-8 + -27X)' equal to zero and attempt to solve:

Simplifying
-8 + -27X = 0

Solving
-8 + -27X = 0

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

Add '8' to each side of the equation.
-8 + 8 + -27X = 0 + 8

Combine like terms: -8 + 8 = 0
0 + -27X = 0 + 8
-27X = 0 + 8

Combine like terms: 0 + 8 = 8
-27X = 8

Divide each side by '-27'.
X = -0.2962962963

Simplifying
X = -0.2962962963
Subproblem 2
Set the factor '(1 + -1X)' equal to zero and attempt to solve:

Simplifying
1 + -1X = 0

Solving
1 + -1X = 0

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

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

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

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

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

Simplifying
X = 1
Solution
X = {-0.2962962963, 1}