19x^2-17x+6=8

Solution for 19x^2-17x+6=8 equation:

Simplifying
19x2 + -17x + 6 = 8

Reorder the terms:
6 + -17x + 19x2 = 8

Solving
6 + -17x + 19x2 = 8

Solving for variable 'x'.

Reorder the terms:
6 + -8 + -17x + 19x2 = 8 + -8

Combine like terms: 6 + -8 = -2
-2 + -17x + 19x2 = 8 + -8

Combine like terms: 8 + -8 = 0
-2 + -17x + 19x2 = 0

Factor a trinomial.
(-2 + -19x)(1 + -1x) = 0

Subproblem 1
Set the factor '(-2 + -19x)' equal to zero and attempt to solve:

Simplifying
-2 + -19x = 0

Solving
-2 + -19x = 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 + -19x = 0 + 2

Combine like terms: -2 + 2 = 0
0 + -19x = 0 + 2
-19x = 0 + 2

Combine like terms: 0 + 2 = 2
-19x = 2

Divide each side by '-19'.
x = -0.1052631579

Simplifying
x = -0.1052631579
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 = {-0.1052631579, 1}