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

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


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

Reorder the terms:
qrtS(1 + x) + 2 = sqrt(3x + 1)
(1 * qrtS + x * qrtS) + 2 = sqrt(3x + 1)
(1qrtS + qrtxS) + 2 = sqrt(3x + 1)

Reorder the terms:
2 + 1qrtS + qrtxS = sqrt(3x + 1)

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

Solving
2 + 1qrtS + qrtxS = 1qrst + 3qrstx

Solving for variable 'q'.

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

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

Reorder the terms:
2 + -1qrst + 1qrtS + qrtxS = 1qrst + -1qrst + 3qrstx

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

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

Reorder the terms:
2 + -1qrst + -3qrstx + 1qrtS + qrtxS = 3qrstx + -3qrstx

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

Add '-2' to each side of the equation.
2 + -1qrst + -3qrstx + 1qrtS + -2 + qrtxS = 0 + -2

Reorder the terms:
2 + -2 + -1qrst + -3qrstx + 1qrtS + qrtxS = 0 + -2

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

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

Reorder the terms:
2 + -1qrst + -3qrstx + 1qrtS + qrtxS = -2 + 2

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

The solution to this equation could not be determined.

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