Which one is not a linear equation? Choose the correct answer below. A. \( 0.03 x-0.08 x=0.30 \) B. \( 5 x+4(x-1)=-2 x \) C. \( 8 x^{2}-3 x+2=0 \) D. \( 4 x+8 x=11 x \)

To determine which equation is **not** a linear equation, let's analyze each option: **A. \( 0.03x - 0.08x = 0.30 \)** - Simplify: \(-0.05x = 0.30\) - This is a linear equation since it can be written in the form \(ax + b = 0\). **B. \( 5x + 4(x - 1) = -2x \)** - Expand and simplify: \(5x + 4x - 4 = -2x\) → \(9x - 4 = -2x\) → \(11x = 4\) - This is a linear equation as it reduces to \(x = \frac{4}{11}\). **C. \( 8x^{2} - 3x + 2 = 0 \)** - This equation includes an \(x^2\) term, making it a quadratic equation. - **Not a linear equation** because it has a degree of 2. **D. \( 4x + 8x = 11x \)** - Simplify: \(12x = 11x\) → \(x = 0\) - This is a linear equation since it resolves to a single solution for \(x\). **Conclusion:** **Option C** is the equation that is **not** linear. **Answer:** C. \( 8 x^{2}-3 x+2=0 \)