Sqrt[x-9]-sqrt[x+6]=5

Solution for Sqrt[x-9]-sqrt[x+6]=5 equation:

Simplifying
Sqrt[x + -9] + -1sqrt[x + 6] = 5

Reorder the terms:
qrtS[-9 + x] + -1sqrt[x + 6] = 5
[-9 * qrtS + x * qrtS] + -1sqrt[x + 6] = 5
[-9qrtS + qrtxS] + -1sqrt[x + 6] = 5

Reorder the terms:
-9qrtS + qrtxS + -1qrst[6 + x] = 5
-9qrtS + qrtxS + [6 * -1qrst + x * -1qrst] = 5
-9qrtS + qrtxS + [-6qrst + -1qrstx] = 5

Reorder the terms:
-6qrst + -1qrstx + -9qrtS + qrtxS = 5

Solving
-6qrst + -1qrstx + -9qrtS + qrtxS = 5

Solving for variable 'q'.

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

Reorder the terms:
-5 + -6qrst + -1qrstx + -9qrtS + qrtxS = 5 + -5

Combine like terms: 5 + -5 = 0
-5 + -6qrst + -1qrstx + -9qrtS + qrtxS = 0

The solution to this equation could not be determined.