sqrt(3x+2)=xsqrt(2)

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


Simplifying
sqrt(3x + 2) = xsqrt(2)

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

Reorder the terms for easier multiplication:
2qrst + 3qrstx = 2qrstx

Solving
2qrst + 3qrstx = 2qrstx

Solving for variable 'q'.

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

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

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

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

Factor out the Greatest Common Factor (GCF), 'qrst'.
qrst(2 + 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 '(2 + x)' equal to zero and attempt to solve:

Simplifying
2 + x = 0

Solving
2 + x = 0

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

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

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

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

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

Combine like terms: x + -1x = 0
0 = -2 + -1x

Simplifying
0 = -2 + -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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