9x^2+17x-26=0

Solution for 9x^2+17x-26=0 equation:

Simplifying
9x2 + 17x + -26 = 0

Reorder the terms:
-26 + 17x + 9x2 = 0

Solving
-26 + 17x + 9x2 = 0

Solving for variable 'x'.

Factor a trinomial.
(-26 + -9x)(1 + -1x) = 0

Subproblem 1
Set the factor '(-26 + -9x)' equal to zero and attempt to solve:

Simplifying
-26 + -9x = 0

Solving
-26 + -9x = 0

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

Add '26' to each side of the equation.
-26 + 26 + -9x = 0 + 26

Combine like terms: -26 + 26 = 0
0 + -9x = 0 + 26
-9x = 0 + 26

Combine like terms: 0 + 26 = 26
-9x = 26

Divide each side by '-9'.
x = -2.888888889

Simplifying
x = -2.888888889
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 = {-2.888888889, 1}