2x=8sqrt(3x)

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Solution for 2x=8sqrt(3x) equation: 


Simplifying
2x = 8sqrt(3x)

Remove parenthesis around (3x)
2x = 8qrst * 3x

Reorder the terms for easier multiplication:
2x = 8 * 3qrst * x

Multiply 8 * 3
2x = 24qrst * x

Multiply qrst * x
2x = 24qrstx

Solving
2x = 24qrstx

Solving for variable 'x'.

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

Add '-24qrstx' to each side of the equation.
-24qrstx + 2x = 24qrstx + -24qrstx

Combine like terms: 24qrstx + -24qrstx = 0
-24qrstx + 2x = 0

Factor out the Greatest Common Factor (GCF), '2x'.
2x(-12qrst + 1) = 0

Ignore the factor 2.

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

Simplifying
x = 0

Solving
x = 0

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

Simplifying
x = 0

Subproblem 2
Set the factor '(-12qrst + 1)' equal to zero and attempt to solve:

Simplifying
-12qrst + 1 = 0

Reorder the terms:
1 + -12qrst = 0

Solving
1 + -12qrst = 0

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

Add '-1' to each side of the equation.
1 + -1 + -12qrst = 0 + -1

Combine like terms: 1 + -1 = 0
0 + -12qrst = 0 + -1
-12qrst = 0 + -1

Combine like terms: 0 + -1 = -1
-12qrst = -1

Add '12qrst' to each side of the equation.
-12qrst + 12qrst = -1 + 12qrst

Combine like terms: -12qrst + 12qrst = 0
0 = -1 + 12qrst

Simplifying
0 = -1 + 12qrst

The solution to this equation could not be determined.

This subproblem is being ignored because a solution could not be determined.
Solution
x = {0}

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