2*sqrt(2x+8)+sqrt(8x-8)=200

Solution for 2*sqrt(2x+8)+sqrt(8x-8)=200 equation:

Simplifying
2sqrt(2x + 8) + sqrt(8x + -8) = 200

Reorder the terms:
2qrst(8 + 2x) + sqrt(8x + -8) = 200
(8 * 2qrst + 2x * 2qrst) + sqrt(8x + -8) = 200
(16qrst + 4qrstx) + sqrt(8x + -8) = 200

Reorder the terms:
16qrst + 4qrstx + qrst(-8 + 8x) = 200
16qrst + 4qrstx + (-8 * qrst + 8x * qrst) = 200
16qrst + 4qrstx + (-8qrst + 8qrstx) = 200

Reorder the terms:
16qrst + -8qrst + 4qrstx + 8qrstx = 200

Combine like terms: 16qrst + -8qrst = 8qrst
8qrst + 4qrstx + 8qrstx = 200

Combine like terms: 4qrstx + 8qrstx = 12qrstx
8qrst + 12qrstx = 200

Solving
8qrst + 12qrstx = 200

Solving for variable 'q'.

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

Reorder the terms:
-200 + 8qrst + 12qrstx = 200 + -200

Combine like terms: 200 + -200 = 0
-200 + 8qrst + 12qrstx = 0

Factor out the Greatest Common Factor (GCF), '4'.
4(-50 + 2qrst + 3qrstx) = 0

Ignore the factor 4.
Subproblem 1
Set the factor '(-50 + 2qrst + 3qrstx)' equal to zero and attempt to solve:

Simplifying
-50 + 2qrst + 3qrstx = 0

Solving
-50 + 2qrst + 3qrstx = 0

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

Add '50' to each side of the equation.
-50 + 2qrst + 50 + 3qrstx = 0 + 50

Reorder the terms:
-50 + 50 + 2qrst + 3qrstx = 0 + 50

Combine like terms: -50 + 50 = 0
0 + 2qrst + 3qrstx = 0 + 50
2qrst + 3qrstx = 0 + 50

Combine like terms: 0 + 50 = 50
2qrst + 3qrstx = 50

The solution to this equation could not be determined.

This subproblem is being ignored because a solution could not be determined.

The solution to this equation could not be determined.