18 x2 = 30x

1. Start with the original equation:

18 x^2 = 30x

2. Move all terms to one side of the equation:

18 x^2 - 30x = 0

3. Factor the quadratic equation:

6x (3x - 5) = 0

4. Set each factor equal to zero and solve for \( x \):

6x = 0 \implies x = 0

3x - 5 = 0 \implies x = \frac{5}{3}

5. The solutions are:

x = 0, \; x = \frac{5}{3}