6545=-0.35x^2+39.43x+5619.85

Solution for 6545=-0.35x^2+39.43x+5619.85 equation:

Simplifying
6545 = -0.35x2 + 39.43x + 5619.85

Reorder the terms:
6545 = 5619.85 + 39.43x + -0.35x2

Solving
6545 = 5619.85 + 39.43x + -0.35x2

Solving for variable 'x'.

Combine like terms: 6545 + -5619.85 = 925.15
925.15 + -39.43x + 0.35x2 = 5619.85 + 39.43x + -0.35x2 + -5619.85 + -39.43x + 0.35x2

Reorder the terms:
925.15 + -39.43x + 0.35x2 = 5619.85 + -5619.85 + 39.43x + -39.43x + -0.35x2 + 0.35x2

Combine like terms: 5619.85 + -5619.85 = 0.00
925.15 + -39.43x + 0.35x2 = 0.00 + 39.43x + -39.43x + -0.35x2 + 0.35x2
925.15 + -39.43x + 0.35x2 = 39.43x + -39.43x + -0.35x2 + 0.35x2

Combine like terms: 39.43x + -39.43x = 0.00
925.15 + -39.43x + 0.35x2 = 0.00 + -0.35x2 + 0.35x2
925.15 + -39.43x + 0.35x2 = -0.35x2 + 0.35x2

Combine like terms: -0.35x2 + 0.35x2 = 0.00
925.15 + -39.43x + 0.35x2 = 0.00

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

Divide each side by '0.35'.
2643.285714 + -112.6571429x + x2 = 0

Move the constant term to the right:

Add '-2643.285714' to each side of the equation.
2643.285714 + -112.6571429x + -2643.285714 + x2 = 0 + -2643.285714

Reorder the terms:
2643.285714 + -2643.285714 + -112.6571429x + x2 = 0 + -2643.285714

Combine like terms: 2643.285714 + -2643.285714 = 0.000000
0.000000 + -112.6571429x + x2 = 0 + -2643.285714
-112.6571429x + x2 = 0 + -2643.285714

Combine like terms: 0 + -2643.285714 = -2643.285714
-112.6571429x + x2 = -2643.285714

The x term is -112.6571429x.  Take half its coefficient (-56.32857145).
Square it (3172.907962) and add it to both sides.

Add '3172.907962' to each side of the equation.
-112.6571429x + 3172.907962 + x2 = -2643.285714 + 3172.907962

Reorder the terms:
3172.907962 + -112.6571429x + x2 = -2643.285714 + 3172.907962

Combine like terms: -2643.285714 + 3172.907962 = 529.622248
3172.907962 + -112.6571429x + x2 = 529.622248

Factor a perfect square on the left side:
(x + -56.32857145)(x + -56.32857145) = 529.622248

Calculate the square root of the right side: 23.013523155

Break this problem into two subproblems by setting 
(x + -56.32857145) equal to 23.013523155 and -23.013523155.

Subproblem 1
x + -56.32857145 = 23.013523155

Simplifying
x + -56.32857145 = 23.013523155

Reorder the terms:
-56.32857145 + x = 23.013523155

Solving
-56.32857145 + x = 23.013523155

Solving for variable 'x'.

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

Add '56.32857145' to each side of the equation.
-56.32857145 + 56.32857145 + x = 23.013523155 + 56.32857145

Combine like terms: -56.32857145 + 56.32857145 = 0.00000000
0.00000000 + x = 23.013523155 + 56.32857145
x = 23.013523155 + 56.32857145

Combine like terms: 23.013523155 + 56.32857145 = 79.342094605
x = 79.342094605

Simplifying
x = 79.342094605

Subproblem 2
x + -56.32857145 = -23.013523155

Simplifying
x + -56.32857145 = -23.013523155

Reorder the terms:
-56.32857145 + x = -23.013523155

Solving
-56.32857145 + x = -23.013523155

Solving for variable 'x'.

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

Add '56.32857145' to each side of the equation.
-56.32857145 + 56.32857145 + x = -23.013523155 + 56.32857145

Combine like terms: -56.32857145 + 56.32857145 = 0.00000000
0.00000000 + x = -23.013523155 + 56.32857145
x = -23.013523155 + 56.32857145

Combine like terms: -23.013523155 + 56.32857145 = 33.315048295
x = 33.315048295

Simplifying
x = 33.315048295

Solution
The solution to the problem is based on the solutions
from the subproblems.
x = {79.342094605, 33.315048295}