2x=sqrt(8x)

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


Simplifying
2x = sqrt(8x)

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

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

Multiply qrst * x
2x = 8qrstx

Solving
2x = 8qrstx

Solving for variable 'x'.

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

Add '-8qrstx' to each side of the equation.
-8qrstx + 2x = 8qrstx + -8qrstx

Combine like terms: 8qrstx + -8qrstx = 0
-8qrstx + 2x = 0

Factor out the Greatest Common Factor (GCF), '2x'.
2x(-4qrst + 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 '(-4qrst + 1)' equal to zero and attempt to solve:

Simplifying
-4qrst + 1 = 0

Reorder the terms:
1 + -4qrst = 0

Solving
1 + -4qrst = 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 + -4qrst = 0 + -1

Combine like terms: 1 + -1 = 0
0 + -4qrst = 0 + -1
-4qrst = 0 + -1

Combine like terms: 0 + -1 = -1
-4qrst = -1

Add '4qrst' to each side of the equation.
-4qrst + 4qrst = -1 + 4qrst

Combine like terms: -4qrst + 4qrst = 0
0 = -1 + 4qrst

Simplifying
0 = -1 + 4qrst

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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