11x^2-30x-104=0

Solution for 11x^2-30x-104=0 equation:

Simplifying
11x2 + -30x + -104 = 0

Reorder the terms:
-104 + -30x + 11x2 = 0

Solving
-104 + -30x + 11x2 = 0

Solving for variable 'x'.

Factor a trinomial.
(-2 + -1x)(52 + -11x) = 0

Subproblem 1
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
Subproblem 2
Set the factor '(52 + -11x)' equal to zero and attempt to solve:

Simplifying
52 + -11x = 0

Solving
52 + -11x = 0

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

Add '-52' to each side of the equation.
52 + -52 + -11x = 0 + -52

Combine like terms: 52 + -52 = 0
0 + -11x = 0 + -52
-11x = 0 + -52

Combine like terms: 0 + -52 = -52
-11x = -52

Divide each side by '-11'.
x = 4.727272727

Simplifying
x = 4.727272727
Solution
x = {-2, 4.727272727}