$$\frac{1}{2}x\times \frac{3}{4}x+\frac{1}{2}x\left(-6\right)+5\times \frac{3}{4}x-30$$

$$\frac{1}{2}x^{2}\times \frac{3}{4}+\frac{1}{2}x\left(-6\right)+5\times \frac{3}{4}x-30$$

$$\frac{1\times 3}{2\times 4}x^{2}+\frac{1}{2}x\left(-6\right)+5\times \frac{3}{4}x-30$$

$$\frac{3}{8}x^{2}+\frac{1}{2}x\left(-6\right)+5\times \frac{3}{4}x-30$$

$$\frac{3}{8}x^{2}+\frac{-6}{2}x+5\times \frac{3}{4}x-30$$

$$\frac{3}{8}x^{2}-3x+5\times \frac{3}{4}x-30$$

$$\frac{3}{8}x^{2}-3x+\frac{5\times 3}{4}x-30$$

$$\frac{3}{8}x^{2}-3x+\frac{15}{4}x-30$$

$$\frac{3}{8}x^{2}+\frac{3}{4}x-30$$

$$\frac{1}{2}x\times \frac{3}{4}x+\frac{1}{2}x\left(-6\right)+5\times \frac{3}{4}x-30$$

$$\frac{1}{2}x^{2}\times \frac{3}{4}+\frac{1}{2}x\left(-6\right)+5\times \frac{3}{4}x-30$$

$$\frac{1\times 3}{2\times 4}x^{2}+\frac{1}{2}x\left(-6\right)+5\times \frac{3}{4}x-30$$

$$\frac{3}{8}x^{2}+\frac{1}{2}x\left(-6\right)+5\times \frac{3}{4}x-30$$

$$\frac{3}{8}x^{2}+\frac{-6}{2}x+5\times \frac{3}{4}x-30$$

$$\frac{3}{8}x^{2}-3x+5\times \frac{3}{4}x-30$$

$$\frac{3}{8}x^{2}-3x+\frac{5\times 3}{4}x-30$$

$$\frac{3}{8}x^{2}-3x+\frac{15}{4}x-30$$

$$\frac{3}{8}x^{2}+\frac{3}{4}x-30$$