sqrt(3x+12)+sqrt(3x-8)=10

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Solution for sqrt(3x+12)+sqrt(3x-8)=10 equation: 


Simplifying
sqrt(3x + 12) + sqrt(3x + -8) = 10

Reorder the terms:
qrst(12 + 3x) + sqrt(3x + -8) = 10
(12 * qrst + 3x * qrst) + sqrt(3x + -8) = 10
(12qrst + 3qrstx) + sqrt(3x + -8) = 10

Reorder the terms:
12qrst + 3qrstx + qrst(-8 + 3x) = 10
12qrst + 3qrstx + (-8 * qrst + 3x * qrst) = 10
12qrst + 3qrstx + (-8qrst + 3qrstx) = 10

Reorder the terms:
12qrst + -8qrst + 3qrstx + 3qrstx = 10

Combine like terms: 12qrst + -8qrst = 4qrst
4qrst + 3qrstx + 3qrstx = 10

Combine like terms: 3qrstx + 3qrstx = 6qrstx
4qrst + 6qrstx = 10

Solving
4qrst + 6qrstx = 10

Solving for variable 'q'.

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

Reorder the terms:
-10 + 4qrst + 6qrstx = 10 + -10

Combine like terms: 10 + -10 = 0
-10 + 4qrst + 6qrstx = 0

Factor out the Greatest Common Factor (GCF), '2'.
2(-5 + 2qrst + 3qrstx) = 0

Ignore the factor 2.

Subproblem 1
Set the factor '(-5 + 2qrst + 3qrstx)' equal to zero and attempt to solve:

Simplifying
-5 + 2qrst + 3qrstx = 0

Solving
-5 + 2qrst + 3qrstx = 0

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

Add '5' to each side of the equation.
-5 + 2qrst + 5 + 3qrstx = 0 + 5

Reorder the terms:
-5 + 5 + 2qrst + 3qrstx = 0 + 5

Combine like terms: -5 + 5 = 0
0 + 2qrst + 3qrstx = 0 + 5
2qrst + 3qrstx = 0 + 5

Combine like terms: 0 + 5 = 5
2qrst + 3qrstx = 5

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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