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Is the Following Solution to the Equation 81x3=4x81 x^{3}=4 x Correct? Explain

Question 55

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Is the following solution to the equation 81x3=4x81 x^{3}=4 x correct? Explain.
81x3=4x81x2=49x=2 or −2x=29 or x=−29{−29,29}\begin{aligned}& 81 x^{3}=4 x \\& 81 x^{2}=4 \\& 9 x=2 \text { or }-2 \\& x=\frac{2}{9} \text { or } x=-\frac{2}{9} \\& \left\{-\frac{2}{9}, \frac{2}{9}\right\}\end{aligned}

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