2sqrt(x-1)=2sqrt(x)+1

Solution for 2sqrt(x-1)=2sqrt(x)+1 equation:

Simplifying
2sqrt(x + -1) = 2sqrt(x) + 1

Reorder the terms:
2qrst(-1 + x) = 2sqrt(x) + 1
(-1 * 2qrst + x * 2qrst) = 2sqrt(x) + 1
(-2qrst + 2qrstx) = 2sqrt(x) + 1

Multiply qrst * x
-2qrst + 2qrstx = 2qrstx + 1

Reorder the terms:
-2qrst + 2qrstx = 1 + 2qrstx

Add '-2qrstx' to each side of the equation.
-2qrst + 2qrstx + -2qrstx = 1 + 2qrstx + -2qrstx

Combine like terms: 2qrstx + -2qrstx = 0
-2qrst + 0 = 1 + 2qrstx + -2qrstx
-2qrst = 1 + 2qrstx + -2qrstx

Combine like terms: 2qrstx + -2qrstx = 0
-2qrst = 1 + 0
-2qrst = 1

Solving
-2qrst = 1

Solving for variable 'q'.

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

Divide each side by '-2rst'.
q = -0.5r-1s-1t-1

Simplifying
q = -0.5r-1s-1t-1