sqrt(x+27)-sqrt(x-13)=3

Solution for sqrt(x+27)-sqrt(x-13)=3 equation:

Simplifying
sqrt(x + 27) + -1sqrt(x + -13) = 3

Reorder the terms:
qrst(27 + x) + -1sqrt(x + -13) = 3
(27 * qrst + x * qrst) + -1sqrt(x + -13) = 3
(27qrst + qrstx) + -1sqrt(x + -13) = 3

Reorder the terms:
27qrst + qrstx + -1qrst(-13 + x) = 3
27qrst + qrstx + (-13 * -1qrst + x * -1qrst) = 3
27qrst + qrstx + (13qrst + -1qrstx) = 3

Reorder the terms:
27qrst + 13qrst + qrstx + -1qrstx = 3

Combine like terms: 27qrst + 13qrst = 40qrst
40qrst + qrstx + -1qrstx = 3

Combine like terms: qrstx + -1qrstx = 0
40qrst + 0 = 3
40qrst = 3

Solving
40qrst = 3

Solving for variable 'q'.

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

Divide each side by '40rst'.
q = 0.075r-1s-1t-1

Simplifying
q = 0.075r-1s-1t-1