0.08x-0.05x(33000-x)=1340

Solution for 0.08x-0.05x(33000-x)=1340 equation:

Simplifying
0.08x + -0.05x(33000 + -1x) = 1340
0.08x + (33000 * -0.05x + -1x * -0.05x) = 1340
0.08x + (-1650x + 0.05x2) = 1340

Combine like terms: 0.08x + -1650x = -1649.92x
-1649.92x + 0.05x2 = 1340

Solving
-1649.92x + 0.05x2 = 1340

Solving for variable 'x'.

Reorder the terms:
-1340 + -1649.92x + 0.05x2 = 1340 + -1340

Combine like terms: 1340 + -1340 = 0
-1340 + -1649.92x + 0.05x2 = 0

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

Divide each side by '0.05'.
-26800 + -32998.4x + x2 = 0

Move the constant term to the right:

Add '26800' to each side of the equation.
-26800 + -32998.4x + 26800 + x2 = 0 + 26800

Reorder the terms:
-26800 + 26800 + -32998.4x + x2 = 0 + 26800

Combine like terms: -26800 + 26800 = 0
0 + -32998.4x + x2 = 0 + 26800
-32998.4x + x2 = 0 + 26800

Combine like terms: 0 + 26800 = 26800
-32998.4x + x2 = 26800

The x term is -32998.4x.  Take half its coefficient (-16499.2).
Square it (272223600.6) and add it to both sides.

Add '272223600.6' to each side of the equation.
-32998.4x + 272223600.6 + x2 = 26800 + 272223600.6

Reorder the terms:
272223600.6 + -32998.4x + x2 = 26800 + 272223600.6

Combine like terms: 26800 + 272223600.6 = 272250400.6
272223600.6 + -32998.4x + x2 = 272250400.6

Factor a perfect square on the left side:
(x + -16499.2)(x + -16499.2) = 272250400.6

Calculate the square root of the right side: 16500.012139389

Break this problem into two subproblems by setting 
(x + -16499.2) equal to 16500.012139389 and -16500.012139389.

Subproblem 1
x + -16499.2 = 16500.012139389

Simplifying
x + -16499.2 = 16500.012139389

Reorder the terms:
-16499.2 + x = 16500.012139389

Solving
-16499.2 + x = 16500.012139389

Solving for variable 'x'.

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

Add '16499.2' to each side of the equation.
-16499.2 + 16499.2 + x = 16500.012139389 + 16499.2

Combine like terms: -16499.2 + 16499.2 = 0.0
0.0 + x = 16500.012139389 + 16499.2
x = 16500.012139389 + 16499.2

Combine like terms: 16500.012139389 + 16499.2 = 32999.212139389
x = 32999.212139389

Simplifying
x = 32999.212139389

Subproblem 2
x + -16499.2 = -16500.012139389

Simplifying
x + -16499.2 = -16500.012139389

Reorder the terms:
-16499.2 + x = -16500.012139389

Solving
-16499.2 + x = -16500.012139389

Solving for variable 'x'.

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

Add '16499.2' to each side of the equation.
-16499.2 + 16499.2 + x = -16500.012139389 + 16499.2

Combine like terms: -16499.2 + 16499.2 = 0.0
0.0 + x = -16500.012139389 + 16499.2
x = -16500.012139389 + 16499.2

Combine like terms: -16500.012139389 + 16499.2 = -0.812139389
x = -0.812139389

Simplifying
x = -0.812139389

Solution
The solution to the problem is based on the solutions
from the subproblems.
x = {32999.212139389, -0.812139389}