sqrt(8x-7)-sqrt(2x-4)=3

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Solution for sqrt(8x-7)-sqrt(2x-4)=3 equation: 


Simplifying
sqrt(8x + -7) + -1sqrt(2x + -4) = 3

Reorder the terms:
qrst(-7 + 8x) + -1sqrt(2x + -4) = 3
(-7 * qrst + 8x * qrst) + -1sqrt(2x + -4) = 3
(-7qrst + 8qrstx) + -1sqrt(2x + -4) = 3

Reorder the terms:
-7qrst + 8qrstx + -1qrst(-4 + 2x) = 3
-7qrst + 8qrstx + (-4 * -1qrst + 2x * -1qrst) = 3
-7qrst + 8qrstx + (4qrst + -2qrstx) = 3

Reorder the terms:
-7qrst + 4qrst + 8qrstx + -2qrstx = 3

Combine like terms: -7qrst + 4qrst = -3qrst
-3qrst + 8qrstx + -2qrstx = 3

Combine like terms: 8qrstx + -2qrstx = 6qrstx
-3qrst + 6qrstx = 3

Solving
-3qrst + 6qrstx = 3

Solving for variable 'q'.

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

Reorder the terms:
-3 + -3qrst + 6qrstx = 3 + -3

Combine like terms: 3 + -3 = 0
-3 + -3qrst + 6qrstx = 0

Factor out the Greatest Common Factor (GCF), '3'.
3(-1 + -1qrst + 2qrstx) = 0

Ignore the factor 3.

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

Simplifying
-1 + -1qrst + 2qrstx = 0

Solving
-1 + -1qrst + 2qrstx = 0

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

Add '1' to each side of the equation.
-1 + -1qrst + 1 + 2qrstx = 0 + 1

Reorder the terms:
-1 + 1 + -1qrst + 2qrstx = 0 + 1

Combine like terms: -1 + 1 = 0
0 + -1qrst + 2qrstx = 0 + 1
-1qrst + 2qrstx = 0 + 1

Combine like terms: 0 + 1 = 1
-1qrst + 2qrstx = 1

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.

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