sqrt(x+6)-sqrt(x-6)=3

Solution for sqrt(x+6)-sqrt(x-6)=3 equation:

Simplifying
sqrt(x + 6) + -1sqrt(x + -6) = 3

Reorder the terms:
qrst(6 + x) + -1sqrt(x + -6) = 3
(6 * qrst + x * qrst) + -1sqrt(x + -6) = 3
(6qrst + qrstx) + -1sqrt(x + -6) = 3

Reorder the terms:
6qrst + qrstx + -1qrst(-6 + x) = 3
6qrst + qrstx + (-6 * -1qrst + x * -1qrst) = 3
6qrst + qrstx + (6qrst + -1qrstx) = 3

Reorder the terms:
6qrst + 6qrst + qrstx + -1qrstx = 3

Combine like terms: 6qrst + 6qrst = 12qrst
12qrst + qrstx + -1qrstx = 3

Combine like terms: qrstx + -1qrstx = 0
12qrst + 0 = 3
12qrst = 3

Solving
12qrst = 3

Solving for variable 'q'.

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

Divide each side by '12rst'.
q = 0.25r-1s-1t-1

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