x^2-5x=sqrt(3x)

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Solution for x^2-5x=sqrt(3x) equation: 


Simplifying
x2 + -5x = sqrt(3x)

Reorder the terms:
-5x + x2 = sqrt(3x)

Remove parenthesis around (3x)
-5x + x2 = qrst * 3x

Reorder the terms for easier multiplication:
-5x + x2 = 3qrst * x

Multiply qrst * x
-5x + x2 = 3qrstx

Solving
-5x + x2 = 3qrstx

Solving for variable 'x'.

Reorder the terms:
-3qrstx + -5x + x2 = 3qrstx + -3qrstx

Combine like terms: 3qrstx + -3qrstx = 0
-3qrstx + -5x + x2 = 0

Factor out the Greatest Common Factor (GCF), 'x'.
x(-3qrst + -5 + x) = 0


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 '(-3qrst + -5 + x)' equal to zero and attempt to solve:

Simplifying
-3qrst + -5 + x = 0

Reorder the terms:
-5 + -3qrst + x = 0

Solving
-5 + -3qrst + x = 0

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

Add '5' to each side of the equation.
-5 + -3qrst + 5 + x = 0 + 5

Reorder the terms:
-5 + 5 + -3qrst + x = 0 + 5

Combine like terms: -5 + 5 = 0
0 + -3qrst + x = 0 + 5
-3qrst + x = 0 + 5

Combine like terms: 0 + 5 = 5
-3qrst + x = 5

Add '3qrst' to each side of the equation.
-3qrst + 3qrst + x = 5 + 3qrst

Combine like terms: -3qrst + 3qrst = 0
0 + x = 5 + 3qrst
x = 5 + 3qrst

Simplifying
x = 5 + 3qrst
Solution
x = {0, 5 + 3qrst}

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