-11x^2+770x=800

Solution for -11x^2+770x=800 equation:

Simplifying
-11x2 + 770x = 800

Reorder the terms:
770x + -11x2 = 800

Solving
770x + -11x2 = 800

Solving for variable 'x'.

Reorder the terms:
-800 + 770x + -11x2 = 800 + -800

Combine like terms: 800 + -800 = 0
-800 + 770x + -11x2 = 0

Begin completing the square.  Divide all terms by
-11 the coefficient of the squared term: 

Divide each side by '-11'.
72.72727273 + -70x + x2 = 0

Move the constant term to the right:

Add '-72.72727273' to each side of the equation.
72.72727273 + -70x + -72.72727273 + x2 = 0 + -72.72727273

Reorder the terms:
72.72727273 + -72.72727273 + -70x + x2 = 0 + -72.72727273

Combine like terms: 72.72727273 + -72.72727273 = 0.00000000
0.00000000 + -70x + x2 = 0 + -72.72727273
-70x + x2 = 0 + -72.72727273

Combine like terms: 0 + -72.72727273 = -72.72727273
-70x + x2 = -72.72727273

The x term is -70x.  Take half its coefficient (-35).
Square it (1225) and add it to both sides.

Add '1225' to each side of the equation.
-70x + 1225 + x2 = -72.72727273 + 1225

Reorder the terms:
1225 + -70x + x2 = -72.72727273 + 1225

Combine like terms: -72.72727273 + 1225 = 1152.27272727
1225 + -70x + x2 = 1152.27272727

Factor a perfect square on the left side:
(x + -35)(x + -35) = 1152.27272727

Calculate the square root of the right side: 33.945142911

Break this problem into two subproblems by setting 
(x + -35) equal to 33.945142911 and -33.945142911.

Subproblem 1
x + -35 = 33.945142911

Simplifying
x + -35 = 33.945142911

Reorder the terms:
-35 + x = 33.945142911

Solving
-35 + x = 33.945142911

Solving for variable 'x'.

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

Add '35' to each side of the equation.
-35 + 35 + x = 33.945142911 + 35

Combine like terms: -35 + 35 = 0
0 + x = 33.945142911 + 35
x = 33.945142911 + 35

Combine like terms: 33.945142911 + 35 = 68.945142911
x = 68.945142911

Simplifying
x = 68.945142911

Subproblem 2
x + -35 = -33.945142911

Simplifying
x + -35 = -33.945142911

Reorder the terms:
-35 + x = -33.945142911

Solving
-35 + x = -33.945142911

Solving for variable 'x'.

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

Add '35' to each side of the equation.
-35 + 35 + x = -33.945142911 + 35

Combine like terms: -35 + 35 = 0
0 + x = -33.945142911 + 35
x = -33.945142911 + 35

Combine like terms: -33.945142911 + 35 = 1.054857089
x = 1.054857089

Simplifying
x = 1.054857089

Solution
The solution to the problem is based on the solutions
from the subproblems.
x = {68.945142911, 1.054857089}