1. **Stating the problem:** Solve the equation or problem using quantitative techniques. Since no specific equation or problem was provided, I will demonstrate a general approach to solving a quantitative problem. 2. **Formula and rules:** Quantitative techniques often involve algebraic manipulation, formula application, and logical reasoning. For example, if solving a linear equation $ax + b = 0$, the formula to find $x$ is: $$x = -\frac{b}{a}$$ Important rules: - Always isolate the variable on one side. - Perform the same operation on both sides of the equation. - Check for division by zero. 3. **Intermediate work:** Suppose the problem is to solve $3x + 6 = 0$. - Subtract 6 from both sides: $$3x = -6$$ - Divide both sides by 3: $$x = -\frac{6}{3}$$ - Simplify: $$x = -2$$ 4. **Explanation:** We isolate $x$ by undoing the operations applied to it. First, subtracting 6 removes the constant term. Then dividing by 3 removes the coefficient of $x$. This gives the solution $x = -2$. 5. **Final answer:** $$x = -2$$