sqrt(3x+4)-sqrt(2x+1)=0

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Solution for sqrt(3x+4)-sqrt(2x+1)=0 equation: 


Simplifying
sqrt(3x + 4) + -1sqrt(2x + 1) = 0

Reorder the terms:
qrst(4 + 3x) + -1sqrt(2x + 1) = 0
(4 * qrst + 3x * qrst) + -1sqrt(2x + 1) = 0
(4qrst + 3qrstx) + -1sqrt(2x + 1) = 0

Reorder the terms:
4qrst + 3qrstx + -1qrst(1 + 2x) = 0
4qrst + 3qrstx + (1 * -1qrst + 2x * -1qrst) = 0
4qrst + 3qrstx + (-1qrst + -2qrstx) = 0

Reorder the terms:
4qrst + -1qrst + 3qrstx + -2qrstx = 0

Combine like terms: 4qrst + -1qrst = 3qrst
3qrst + 3qrstx + -2qrstx = 0

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

Solving
3qrst + 1qrstx = 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 + x) = 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 + x)' equal to zero and attempt to solve:

Simplifying
3 + x = 0

Solving
3 + x = 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 + x = 0 + -3

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

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

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

Combine like terms: x + -1x = 0
0 = -3 + -1x

Simplifying
0 = -3 + -1x

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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