Taking Square of Both Sides to Solve a Radical Equation and Check Your Solutions

The video tutorial discusses problem-solving techniques, focusing on a specific problem that initially seems to have no solution. The teacher makes an error but corrects it, demonstrating how to solve the equation by taking cube roots. The process involves isolating variables and understanding cube roots, with a reflection on the problem-solving approach.

What mistake did the teacher acknowledge in the problem setup?

What operation is performed after finding the cube root of the equation?