Solve y=(x-42)(-4x+204)

$$y = ( x - 42 ) ( - 4 x + 204 )$$

Solve for y

$$y=4\left(51-x\right)\left(x-42\right)$$

Solution Steps

Use the distributive property to multiply x-42 by -4x+204 and combine like terms.

$$y=-4x^{2}+372x-8568$$

Solve for x (complex solution)

$$x=\frac{\sqrt{81-y}+93}{2}$$

$$x=\frac{-\sqrt{81-y}+93}{2}$$

Solve for x

$$x=\frac{\sqrt{81-y}+93}{2}$$

$$x=\frac{-\sqrt{81-y}+93}{2}\text{, }y\leq 81$$