11X^2-9X-26=0

Solution for 11X^2-9X-26=0 equation:

Simplifying
11X2 + -9X + -26 = 0

Reorder the terms:
-26 + -9X + 11X2 = 0

Solving
-26 + -9X + 11X2 = 0

Solving for variable 'X'.

Factor a trinomial.
(-13 + -11X)(2 + -1X) = 0

Subproblem 1
Set the factor '(-13 + -11X)' equal to zero and attempt to solve:

Simplifying
-13 + -11X = 0

Solving
-13 + -11X = 0

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

Add '13' to each side of the equation.
-13 + 13 + -11X = 0 + 13

Combine like terms: -13 + 13 = 0
0 + -11X = 0 + 13
-11X = 0 + 13

Combine like terms: 0 + 13 = 13
-11X = 13

Divide each side by '-11'.
X = -1.181818182

Simplifying
X = -1.181818182
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 = {-1.181818182, 2}