sqrt(3x-2)-sqrt(x+1)=0

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Solution for sqrt(3x-2)-sqrt(x+1)=0 equation: 


Simplifying
sqrt(3x + -2) + -1sqrt(x + 1) = 0

Reorder the terms:
qrst(-2 + 3x) + -1sqrt(x + 1) = 0
(-2 * qrst + 3x * qrst) + -1sqrt(x + 1) = 0
(-2qrst + 3qrstx) + -1sqrt(x + 1) = 0

Reorder the terms:
-2qrst + 3qrstx + -1qrst(1 + x) = 0
-2qrst + 3qrstx + (1 * -1qrst + x * -1qrst) = 0
-2qrst + 3qrstx + (-1qrst + -1qrstx) = 0

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

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

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

Solving
-3qrst + 2qrstx = 0

Solving for variable 'q'.

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

Factor out the Greatest Common Factor (GCF), 'qrst'.
qrst(-3 + 2x) = 0


Subproblem 1
Set the factor 'qrst' equal to zero and attempt to solve:

Simplifying
qrst = 0

Solving
qrst = 0

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

Simplifying
qrst = 0

The solution to this equation could not be determined.

This subproblem is being ignored because a solution could not be determined.

Subproblem 2
Set the factor '(-3 + 2x)' equal to zero and attempt to solve:

Simplifying
-3 + 2x = 0

Solving
-3 + 2x = 0

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

Add '3' to each side of the equation.
-3 + 3 + 2x = 0 + 3

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

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

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

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

Simplifying
0 = 3 + -2x

The solution to this equation could not be determined.

This subproblem is being ignored because a solution could not be determined.

The solution to this equation could not be determined.

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