# Math Help - Solve 54x^3-16=0.

1. ## Solve 54x^3-16=0.

How do I solve for this problem

54x^3-16=0

2. Originally Posted by sprink268
How do I solve for this problem

54x^3-16=0
Assuming $x$ is real...

$54x^3 = 16$

$x^3 = \frac{16}{54}$

$x^3 = \frac{8}{27}$

$x = \sqrt[3]{\frac{8}{27}}$

$x = \frac{\sqrt[3]{8}}{\sqrt[3]{27}}$

$x = \frac{2}{3}$.

3. Originally Posted by sprink268
How do I solve for this problem

54x^3-16=0
Solve for $x^3$ and then take the cube root of both sides.

$54x^3-16=0\implies x^3=\frac{16}{54}=\frac{8}{27}$

Thus, $x=\sqrt[3]{\frac{8}{27}}=\ldots$.

Can you simplify this result?