sqrt(7x+2)+sqrt(x+2)=6

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Solution for sqrt(7x+2)+sqrt(x+2)=6 equation: 


Simplifying
sqrt(7x + 2) + sqrt(x + 2) = 6

Reorder the terms:
qrst(2 + 7x) + sqrt(x + 2) = 6
(2 * qrst + 7x * qrst) + sqrt(x + 2) = 6
(2qrst + 7qrstx) + sqrt(x + 2) = 6

Reorder the terms:
2qrst + 7qrstx + qrst(2 + x) = 6
2qrst + 7qrstx + (2 * qrst + x * qrst) = 6
2qrst + 7qrstx + (2qrst + qrstx) = 6

Reorder the terms:
2qrst + 2qrst + 7qrstx + qrstx = 6

Combine like terms: 2qrst + 2qrst = 4qrst
4qrst + 7qrstx + qrstx = 6

Combine like terms: 7qrstx + qrstx = 8qrstx
4qrst + 8qrstx = 6

Solving
4qrst + 8qrstx = 6

Solving for variable 'q'.

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

Reorder the terms:
-6 + 4qrst + 8qrstx = 6 + -6

Combine like terms: 6 + -6 = 0
-6 + 4qrst + 8qrstx = 0

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

Ignore the factor 2.

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

Simplifying
-3 + 2qrst + 4qrstx = 0

Solving
-3 + 2qrst + 4qrstx = 0

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

Add '3' to each side of the equation.
-3 + 2qrst + 3 + 4qrstx = 0 + 3

Reorder the terms:
-3 + 3 + 2qrst + 4qrstx = 0 + 3

Combine like terms: -3 + 3 = 0
0 + 2qrst + 4qrstx = 0 + 3
2qrst + 4qrstx = 0 + 3

Combine like terms: 0 + 3 = 3
2qrst + 4qrstx = 3

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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