Solving the Equation 9(x-1)³ = -125/27: No Solution Found

To solve this equation, we can start by simplifying the left side:

9(x-1)³ = 9(-1)³ × x³

= 9(-1)³ × (-1)

= 9(-1)⁴

= 9(1)

= 9

Now we can set this equal to the right side and solve for x:

9 = -125/27

This is a contradiction, since 9 is not equal to -125/27. Therefore, there is no solution to the equation.