sqrt(x+5)-1=sqrt(x)

Solution for sqrt(x+5)-1=sqrt(x) equation:

Simplifying
sqrt(x + 5) + -1 = sqrt(x)

Reorder the terms:
qrst(5 + x) + -1 = sqrt(x)
(5 * qrst + x * qrst) + -1 = sqrt(x)
(5qrst + qrstx) + -1 = sqrt(x)

Reorder the terms:
-1 + 5qrst + qrstx = sqrt(x)

Multiply qrst * x
-1 + 5qrst + qrstx = qrstx

Add '-1qrstx' to each side of the equation.
-1 + 5qrst + qrstx + -1qrstx = qrstx + -1qrstx

Combine like terms: qrstx + -1qrstx = 0
-1 + 5qrst + 0 = qrstx + -1qrstx
-1 + 5qrst = qrstx + -1qrstx

Combine like terms: qrstx + -1qrstx = 0
-1 + 5qrst = 0

Solving
-1 + 5qrst = 0

Solving for variable 'q'.

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

Add '1' to each side of the equation.
-1 + 1 + 5qrst = 0 + 1

Combine like terms: -1 + 1 = 0
0 + 5qrst = 0 + 1
5qrst = 0 + 1

Combine like terms: 0 + 1 = 1
5qrst = 1

Divide each side by '5rst'.
q = 0.2r-1s-1t-1

Simplifying
q = 0.2r-1s-1t-1