Solve y=-3(x+3)(x+9)

$$y = - 3 ( x + 3 ) ( x + 9 )$$

Solve for y

$$y=-3\left(x+3\right)\left(x+9\right)$$

Solution Steps

Use the distributive property to multiply -3 by x+3.

$$y=\left(-3x-9\right)\left(x+9\right)$$

Use the distributive property to multiply -3x-9 by x+9 and combine like terms.

$$y=-3x^{2}-36x-81$$

Solve for x (complex solution)

$$x=\frac{\sqrt{81-3y}}{3}-6$$

$$x=-\frac{\sqrt{81-3y}}{3}-6$$

Solve for x

$$x=\frac{\sqrt{81-3y}}{3}-6$$

$$x=-\frac{\sqrt{81-3y}}{3}-6\text{, }y\leq 27$$