Solve by Factoring (2x-6)^(2/3)=x^(1/3)

${(2 x - 6)}^{\frac{2}{3}} = x^{\frac{1}{3}}$

Step 1

Subtract $x^{\frac{1}{3}}$ from both sides of the equation.

${(2 x - 6)}^{\frac{2}{3}} - x^{\frac{1}{3}} = 0$

Step 2

Graph each side of the equation. The solution is the x-value of the point of intersection.

$x = \frac{9}{4}, 4$

Step 3