9x^2+8x-17=

Solution for 9x^2+8x-17= equation:

Simplifying
9x2 + 8x + -17 = 0

Reorder the terms:
-17 + 8x + 9x2 = 0

Solving
-17 + 8x + 9x2 = 0

Solving for variable 'x'.

Factor a trinomial.
(-17 + -9x)(1 + -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 '(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 = {-1.888888889, 1}