Solve y=10(x+15)(x-2)

$$y=10(x+15)(x-2)$$

Solve for y

$$y=10\left(x-2\right)\left(x+15\right)$$

Solution Steps

Use the distributive property to multiply 10 by x+15.

$$y=\left(10x+150\right)\left(x-2\right)$$

Use the distributive property to multiply 10x+150 by x-2 and combine like terms.

$$y=10x^{2}+130x-300$$

Solve for x (complex solution)

$$x=\frac{\sqrt{10y+7225}}{10}-\frac{13}{2}$$

$$x=-\frac{\sqrt{10y+7225}}{10}-\frac{13}{2}$$

Solve for x

$$x=\frac{\sqrt{10y+7225}}{10}-\frac{13}{2}$$

$$x=-\frac{\sqrt{10y+7225}}{10}-\frac{13}{2}\text{, }y\geq -\frac{1445}{2}$$