sqrt(3x+1)-sqrt(3x-1)=2

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Solution for sqrt(3x+1)-sqrt(3x-1)=2 equation: 


Simplifying
sqrt(3x + 1) + -1sqrt(3x + -1) = 2

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

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

Reorder the terms:
1qrst + 1qrst + 3qrstx + -3qrstx = 2

Combine like terms: 1qrst + 1qrst = 2qrst
2qrst + 3qrstx + -3qrstx = 2

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

Solving
2qrst = 2

Solving for variable 'q'.

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

Divide each side by '2rst'.
q = r-1s-1t-1

Simplifying
q = r-1s-1t-1

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