11x^2-490x-3000=0

Solution for 11x^2-490x-3000=0 equation:

Simplifying
11x2 + -490x + -3000 = 0

Reorder the terms:
-3000 + -490x + 11x2 = 0

Solving
-3000 + -490x + 11x2 = 0

Solving for variable 'x'.

Factor a trinomial.
(-60 + -11x)(50 + -1x) = 0

Subproblem 1
Set the factor '(-60 + -11x)' equal to zero and attempt to solve:

Simplifying
-60 + -11x = 0

Solving
-60 + -11x = 0

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

Add '60' to each side of the equation.
-60 + 60 + -11x = 0 + 60

Combine like terms: -60 + 60 = 0
0 + -11x = 0 + 60
-11x = 0 + 60

Combine like terms: 0 + 60 = 60
-11x = 60

Divide each side by '-11'.
x = -5.454545455

Simplifying
x = -5.454545455
Subproblem 2
Set the factor '(50 + -1x)' equal to zero and attempt to solve:

Simplifying
50 + -1x = 0

Solving
50 + -1x = 0

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

Add '-50' to each side of the equation.
50 + -50 + -1x = 0 + -50

Combine like terms: 50 + -50 = 0
0 + -1x = 0 + -50
-1x = 0 + -50

Combine like terms: 0 + -50 = -50
-1x = -50

Divide each side by '-1'.
x = 50

Simplifying
x = 50
Solution
x = {-5.454545455, 50}