Sqrt(3y+4)=2+sqrt(y+2)

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Solution for Sqrt(3y+4)=2+sqrt(y+2) equation:


Simplifying
Sqrt(3y + 4) = 2 + sqrt(y + 2)

Reorder the terms:
qrtS(4 + 3y) = 2 + sqrt(y + 2)
(4 * qrtS + 3y * qrtS) = 2 + sqrt(y + 2)
(4qrtS + 3qrtyS) = 2 + sqrt(y + 2)

Reorder the terms:
4qrtS + 3qrtyS = 2 + qrst(2 + y)
4qrtS + 3qrtyS = 2 + (2 * qrst + y * qrst)
4qrtS + 3qrtyS = 2 + (2qrst + qrsty)

Solving
4qrtS + 3qrtyS = 2 + 2qrst + qrsty

Solving for variable 'q'.

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

Add '-2qrst' to each side of the equation.
4qrtS + -2qrst + 3qrtyS = 2 + 2qrst + -2qrst + qrsty

Reorder the terms:
-2qrst + 4qrtS + 3qrtyS = 2 + 2qrst + -2qrst + qrsty

Combine like terms: 2qrst + -2qrst = 0
-2qrst + 4qrtS + 3qrtyS = 2 + 0 + qrsty
-2qrst + 4qrtS + 3qrtyS = 2 + qrsty

Add '-1qrsty' to each side of the equation.
-2qrst + 4qrtS + -1qrsty + 3qrtyS = 2 + qrsty + -1qrsty

Reorder the terms:
-2qrst + -1qrsty + 4qrtS + 3qrtyS = 2 + qrsty + -1qrsty

Combine like terms: qrsty + -1qrsty = 0
-2qrst + -1qrsty + 4qrtS + 3qrtyS = 2 + 0
-2qrst + -1qrsty + 4qrtS + 3qrtyS = 2

Reorder the terms:
-2 + -2qrst + -1qrsty + 4qrtS + 3qrtyS = 2 + -2

Combine like terms: 2 + -2 = 0
-2 + -2qrst + -1qrsty + 4qrtS + 3qrtyS = 0

The solution to this equation could not be determined.

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