1. **State the problem:** Solve the quadratic equation $$3x - 15x + 18 = 0$$. 2. **Simplify the equation:** Combine like terms: $$3x - 15x = -12x$$ So the equation becomes: $$-12x + 18 = 0$$ 3. **Isolate the variable term:** Subtract 18 from both sides: $$-12x = -18$$ 4. **Solve for $x$:** Divide both sides by $-12$: $$x = \frac{-18}{-12} = \frac{18}{12} = \frac{3}{2}$$ 5. **Final answer:** $$x = \frac{3}{2}$$ This means the solution to the equation is $x = 1.5$.