To solve this equation, we can start by multiplying each term by (x-3) to get rid of the denominator:
x^(2/3) - x = 2x/(x-3)
Multiply both sides by (x-3):
(x-3)(x^(2/3) - x) = 2x
Expand the left side:
x^(5/3) - x^2 - 3x^(2/3) + 3x = 2x
Combine like terms:
x^(5/3) - x^2 - 3x^(2/3) + 3x - 2x = 0
x^(5/3) - x^2 - 3x^(2/3) + x = 0
Rearrange the terms to set the equation to 0:
x^(5/3) - x^2 + x - 3x^(2/3) = 0
This is the simplified form of the equation.
To solve this equation, we can start by multiplying each term by (x-3) to get rid of the denominator:
x^(2/3) - x = 2x/(x-3)
Multiply both sides by (x-3):
(x-3)(x^(2/3) - x) = 2x
Expand the left side:
x^(5/3) - x^2 - 3x^(2/3) + 3x = 2x
Combine like terms:
x^(5/3) - x^2 - 3x^(2/3) + 3x - 2x = 0
x^(5/3) - x^2 - 3x^(2/3) + x = 0
Rearrange the terms to set the equation to 0:
x^(5/3) - x^2 + x - 3x^(2/3) = 0
This is the simplified form of the equation.