# Thread: Solving for x in a polynomial with fractional exponents

1. ## Solving for x in a polynomial with fractional exponents

Hi, I'm kinda lost where to start this problem. Any help would be great. Thanks.

Solve for x:
$3x^\frac{3}{2} -2x=0$

2. Originally Posted by cynlix
Hi, I'm kinda lost where to start this problem. Any help would be great. Thanks.

Solve for x:
$3x^\frac{3}{2} -2x=0$
1. It is not a polynomial. Polynomials only have positive integer powers.

2. Factorise and solve using the Null Factor Law.

$3x^{\frac{3}{2}} - 2x = 0$

$x\left(3x^{\frac{1}{2}} - 2\right) = 0$

$x = 0$ or $3x^{\frac{1}{2}} - 2 = 0$.

Can you go from here?

3. ah, i see it now. thank you!