Solve y=-3(x+2)(x-6)

$$y = - 3 ( x + 2 ) ( x - 6 )$$

Solve for y

$$y=-3\left(x-6\right)\left(x+2\right)$$

Solution Steps

Use the distributive property to multiply -3 by x+2.

$$y=\left(-3x-6\right)\left(x-6\right)$$

Use the distributive property to multiply -3x-6 by x-6 and combine like terms.

$$y=-3x^{2}+12x+36$$

Solve for x (complex solution)

$$x=\frac{\sqrt{144-3y}}{3}+2$$

$$x=-\frac{\sqrt{144-3y}}{3}+2$$

Solve for x

$$x=\frac{\sqrt{144-3y}}{3}+2$$

$$x=-\frac{\sqrt{144-3y}}{3}+2\text{, }y\leq 48$$