11x^2-710x+3000=0

Solution for 11x^2-710x+3000=0 equation:

Simplifying
11x2 + -710x + 3000 = 0

Reorder the terms:
3000 + -710x + 11x2 = 0

Solving
3000 + -710x + 11x2 = 0

Solving for variable 'x'.

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

Subproblem 1
Set the factor '(50 + -11x)' equal to zero and attempt to solve:

Simplifying
50 + -11x = 0

Solving
50 + -11x = 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 + -11x = 0 + -50

Combine like terms: 50 + -50 = 0
0 + -11x = 0 + -50
-11x = 0 + -50

Combine like terms: 0 + -50 = -50
-11x = -50

Divide each side by '-11'.
x = 4.545454545

Simplifying
x = 4.545454545
Subproblem 2
Set the factor '(60 + -1x)' equal to zero and attempt to solve:

Simplifying
60 + -1x = 0

Solving
60 + -1x = 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 + -1x = 0 + -60

Combine like terms: 60 + -60 = 0
0 + -1x = 0 + -60
-1x = 0 + -60

Combine like terms: 0 + -60 = -60
-1x = -60

Divide each side by '-1'.
x = 60

Simplifying
x = 60
Solution
x = {4.545454545, 60}