sqrt(x+1)-2=sqrt(x+3)+x

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Solution for sqrt(x+1)-2=sqrt(x+3)+x equation:


Simplifying
sqrt(x + 1) + -2 = sqrt(x + 3) + x

Reorder the terms:
qrst(1 + x) + -2 = sqrt(x + 3) + x
(1 * qrst + x * qrst) + -2 = sqrt(x + 3) + x
(1qrst + qrstx) + -2 = sqrt(x + 3) + x

Reorder the terms:
-2 + 1qrst + qrstx = sqrt(x + 3) + x

Reorder the terms:
-2 + 1qrst + qrstx = qrst(3 + x) + x
-2 + 1qrst + qrstx = (3 * qrst + x * qrst) + x
-2 + 1qrst + qrstx = (3qrst + qrstx) + x

Add '-1qrstx' to each side of the equation.
-2 + 1qrst + qrstx + -1qrstx = 3qrst + qrstx + -1qrstx + x

Combine like terms: qrstx + -1qrstx = 0
-2 + 1qrst + 0 = 3qrst + qrstx + -1qrstx + x
-2 + 1qrst = 3qrst + qrstx + -1qrstx + x

Combine like terms: qrstx + -1qrstx = 0
-2 + 1qrst = 3qrst + 0 + x
-2 + 1qrst = 3qrst + x

Solving
-2 + 1qrst = 3qrst + x

Solving for variable 'q'.

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

Add '-3qrst' to each side of the equation.
-2 + 1qrst + -3qrst = 3qrst + -3qrst + x

Combine like terms: 1qrst + -3qrst = -2qrst
-2 + -2qrst = 3qrst + -3qrst + x

Combine like terms: 3qrst + -3qrst = 0
-2 + -2qrst = 0 + x
-2 + -2qrst = x

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

Combine like terms: -2 + 2 = 0
0 + -2qrst = 2 + x
-2qrst = 2 + x

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

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

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