How do I solve for this problem

54x^3-16=0

Assuming \(\displaystyle x\) is real...

\(\displaystyle 54x^3 = 16\)

\(\displaystyle x^3 = \frac{16}{54}\)

\(\displaystyle x^3 = \frac{8}{27}\)

\(\displaystyle x = \sqrt[3]{\frac{8}{27}}\)

\(\displaystyle x = \frac{\sqrt[3]{8}}{\sqrt[3]{27}}\)

\(\displaystyle x = \frac{2}{3}\).