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

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


Simplifying
sqrt(x + 2) + -1sqrt(x + -6) = 2

Reorder the terms:
qrst(2 + x) + -1sqrt(x + -6) = 2
(2 * qrst + x * qrst) + -1sqrt(x + -6) = 2
(2qrst + qrstx) + -1sqrt(x + -6) = 2

Reorder the terms:
2qrst + qrstx + -1qrst(-6 + x) = 2
2qrst + qrstx + (-6 * -1qrst + x * -1qrst) = 2
2qrst + qrstx + (6qrst + -1qrstx) = 2

Reorder the terms:
2qrst + 6qrst + qrstx + -1qrstx = 2

Combine like terms: 2qrst + 6qrst = 8qrst
8qrst + qrstx + -1qrstx = 2

Combine like terms: qrstx + -1qrstx = 0
8qrst + 0 = 2
8qrst = 2

Solving
8qrst = 2

Solving for variable 'q'.

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

Divide each side by '8rst'.
q = 0.25r-1s-1t-1

Simplifying
q = 0.25r-1s-1t-1

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