Solve y=-3/4(x+4)(x-2)

$$y = - \frac { 3 } { 4 } ( x + 4 ) ( x - 2 )$$

Solve for y

$$y=-\frac{3\left(x-2\right)\left(x+4\right)}{4}$$

Solution Steps

Use the distributive property to multiply -\frac{3}{4} by x+4.

$$y=\left(-\frac{3}{4}x-3\right)\left(x-2\right)$$

Use the distributive property to multiply -\frac{3}{4}x-3 by x-2 and combine like terms.

$$y=-\frac{3}{4}x^{2}-\frac{3}{2}x+6$$

Solve for x (complex solution)

$$x=\frac{\sqrt{81-12y}}{3}-1$$

$$x=-\frac{\sqrt{81-12y}}{3}-1$$

Solve for x

$$x=\frac{\sqrt{81-12y}}{3}-1$$

$$x=-\frac{\sqrt{81-12y}}{3}-1\text{, }y\leq \frac{27}{4}$$