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

$$y = - ( x + 4 ) ( x - 3 )$$

Solve for y

$$y=-\left(x-3\right)\left(x+4\right)$$

Solution Steps

To find the opposite of x+4, find the opposite of each term.

$$y=\left(-x-4\right)\left(x-3\right)$$

Use the distributive property to multiply -x-4 by x-3 and combine like terms.

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

Solve for x (complex solution)

$$x=\frac{\sqrt{49-4y}-1}{2}$$

$$x=\frac{-\sqrt{49-4y}-1}{2}$$

Solve for x

$$x=\frac{\sqrt{49-4y}-1}{2}$$

$$x=\frac{-\sqrt{49-4y}-1}{2}\text{, }y\leq \frac{49}{4}$$