11x^2+30x=104

Solution for 11x^2+30x=104 equation:

Simplifying
11x2 + 30x = 104

Reorder the terms:
30x + 11x2 = 104

Solving
30x + 11x2 = 104

Solving for variable 'x'.

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

Combine like terms: 104 + -104 = 0
-104 + 30x + 11x2 = 0

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

Subproblem 1
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
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 = {-4.727272727, 2}