$$(\frac{3x}{2}+10)(\frac{3x}{2}-15)$$
$\frac{3\left(x-10\right)\left(3x+20\right)}{4}$
$$\left(\frac{3x}{2}+\frac{10\times 2}{2}\right)\left(\frac{3x}{2}-15\right)$$
$$\frac{3x+10\times 2}{2}\left(\frac{3x}{2}-15\right)$$
$$\frac{3x+20}{2}\left(\frac{3x}{2}-15\right)$$
$$\frac{3x+20}{2}\left(\frac{3x}{2}-\frac{15\times 2}{2}\right)$$
$$\frac{3x+20}{2}\times \frac{3x-15\times 2}{2}$$
$$\frac{3x+20}{2}\times \frac{3x-30}{2}$$
$$\frac{\left(3x+20\right)\left(3x-30\right)}{2\times 2}$$
$$\frac{\left(3x+20\right)\left(3x-30\right)}{4}$$
$$\frac{9x^{2}-90x+60x-600}{4}$$
$$\frac{9x^{2}-30x-600}{4}$$
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$\frac{9x^{2}}{4}-\frac{15x}{2}-150$
