sqrt(x+21)-1=x

Solution for sqrt(x+21)-1=x equation:

Simplifying
sqrt(x + 21) + -1 = x

Reorder the terms:
qrst(21 + x) + -1 = x
(21 * qrst + x * qrst) + -1 = x
(21qrst + qrstx) + -1 = x

Reorder the terms:
-1 + 21qrst + qrstx = x

Solving
-1 + 21qrst + qrstx = x

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 + 21qrst + 1 + qrstx = 1 + x

Reorder the terms:
-1 + 1 + 21qrst + qrstx = 1 + x

Combine like terms: -1 + 1 = 0
0 + 21qrst + qrstx = 1 + x
21qrst + qrstx = 1 + x

Reorder the terms:
-1 + 21qrst + qrstx + -1x = 1 + x + -1 + -1x

Reorder the terms:
-1 + 21qrst + qrstx + -1x = 1 + -1 + x + -1x

Combine like terms: 1 + -1 = 0
-1 + 21qrst + qrstx + -1x = 0 + x + -1x
-1 + 21qrst + qrstx + -1x = x + -1x

Combine like terms: x + -1x = 0
-1 + 21qrst + qrstx + -1x = 0

The solution to this equation could not be determined.