17x^2+19x+2=0

Solution for 17x^2+19x+2=0 equation:

Simplifying
17x2 + 19x + 2 = 0

Reorder the terms:
2 + 19x + 17x2 = 0

Solving
2 + 19x + 17x2 = 0

Solving for variable 'x'.

Factor a trinomial.
(1 + x)(2 + 17x) = 0

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

Simplifying
1 + x = 0

Solving
1 + x = 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 + x = 0 + -1

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

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

Simplifying
x = -1
Subproblem 2
Set the factor '(2 + 17x)' equal to zero and attempt to solve:

Simplifying
2 + 17x = 0

Solving
2 + 17x = 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 + 17x = 0 + -2

Combine like terms: 2 + -2 = 0
0 + 17x = 0 + -2
17x = 0 + -2

Combine like terms: 0 + -2 = -2
17x = -2

Divide each side by '17'.
x = -0.1176470588

Simplifying
x = -0.1176470588
Solution
x = {-1, -0.1176470588}