Solve y=-2(x+6)(x+2)

$$y = - 2 ( x + 6 ) ( x + 2 )$$

Solve for y

$$y=-2\left(x+2\right)\left(x+6\right)$$

Solution Steps

Use the distributive property to multiply -2 by x+6.

$$y=\left(-2x-12\right)\left(x+2\right)$$

Use the distributive property to multiply -2x-12 by x+2 and combine like terms.

$$y=-2x^{2}-16x-24$$

Solve for x (complex solution)

$$x=\frac{\sqrt{16-2y}}{2}-4$$

$$x=-\frac{\sqrt{16-2y}}{2}-4$$

Solve for x

$$x=\frac{\sqrt{16-2y}}{2}-4$$

$$x=-\frac{\sqrt{16-2y}}{2}-4\text{, }y\leq 8$$