Solve y=5(x-5)(x-2)

$$y = 5 ( x - 5 ) ( x - 2 )$$

Solve for y

$$y=5\left(x-5\right)\left(x-2\right)$$

Solution Steps

Use the distributive property to multiply 5 by x-5.

$$y=\left(5x-25\right)\left(x-2\right)$$

Use the distributive property to multiply 5x-25 by x-2 and combine like terms.

$$y=5x^{2}-35x+50$$

Solve for x (complex solution)

$$x=\frac{\sqrt{20y+225}}{10}+\frac{7}{2}$$

$$x=-\frac{\sqrt{20y+225}}{10}+\frac{7}{2}$$

Solve for x

$$x=\frac{\sqrt{20y+225}}{10}+\frac{7}{2}$$

$$x=-\frac{\sqrt{20y+225}}{10}+\frac{7}{2}\text{, }y\geq -\frac{45}{4}$$