Solve Cubic Linear Bc8757
1. **State the problem:** Solve the equation $b \times b \times b = b + b + b$.
2. **Rewrite the equation:** The left side is $b^3$ (since $b \times b \times b = b^3$) and the right side is $3b$ (since $b + b + b = 3b$).
3. **Set up the equation:**
$$b^3 = 3b$$
4. **Bring all terms to one side:**
$$b^3 - 3b = 0$$
5. **Factor the equation:**
$$b(b^2 - 3) = 0$$
6. **Solve each factor:**
- $b = 0$
- $b^2 - 3 = 0 \Rightarrow b^2 = 3 \Rightarrow b = \pm \sqrt{3}$
7. **Final solutions:**
$$b = 0, \quad b = \sqrt{3}, \quad b = -\sqrt{3}$$
These are the values of $b$ that satisfy the original equation.