(-5х+3)(-х+6)=0

Let's solve the equation \((-5x + 3)(-x + 6) = 0\). **Step 1:** Use the Zero Product Property Since the product equals zero, at least one of the factors must be zero: \[ -5x + 3 = 0 \quad \text{or} \quad -x + 6 = 0 \] **Step 2:** Solve each equation separately. **First equation:** \[ -5x + 3 = 0 \] \[ -5x = -3 \] \[ x = \frac{-3}{-5} = \frac{3}{5} \] **Second equation:** \[ -x + 6 = 0 \] \[ -x = -6 \] \[ x = 6 \] **Final solution:** \[ x = \frac{3}{5} \quad \text{or} \quad x = 6 \] **Answer:** \(\boxed{x = \frac{3}{5} \text{ or } x = 6}\)