9x^2-x-34=0

Solution for 9x^2-x-34=0 equation:

Simplifying
9x2 + -1x + -34 = 0

Reorder the terms:
-34 + -1x + 9x2 = 0

Solving
-34 + -1x + 9x2 = 0

Solving for variable 'x'.

Factor a trinomial.
(-17 + -9x)(2 + -1x) = 0

Subproblem 1
Set the factor '(-17 + -9x)' equal to zero and attempt to solve:

Simplifying
-17 + -9x = 0

Solving
-17 + -9x = 0

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

Add '17' to each side of the equation.
-17 + 17 + -9x = 0 + 17

Combine like terms: -17 + 17 = 0
0 + -9x = 0 + 17
-9x = 0 + 17

Combine like terms: 0 + 17 = 17
-9x = 17

Divide each side by '-9'.
x = -1.888888889

Simplifying
x = -1.888888889
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 = {-1.888888889, 2}