Solve y=-5(x+3)(x-2)-30

$$y = - 5 ( x + 3 ) ( x - 2 ) - 30$$

Solve for y

$$y=-5x\left(x+1\right)$$

Solution Steps

Use the distributive property to multiply -5 by x+3.

$$y=\left(-5x-15\right)\left(x-2\right)-30$$

Use the distributive property to multiply -5x-15 by x-2 and combine like terms.

$$y=-5x^{2}-5x+30-30$$

Subtract 30 from 30 to get 0.

$$y=-5x^{2}-5x$$

Solve for x (complex solution)

$$x=\frac{\sqrt{25-20y}}{10}-\frac{1}{2}$$

$$x=-\frac{\sqrt{25-20y}}{10}-\frac{1}{2}$$

Solve for x

$$x=\frac{\sqrt{25-20y}}{10}-\frac{1}{2}$$

$$x=-\frac{\sqrt{25-20y}}{10}-\frac{1}{2}\text{, }y\leq \frac{5}{4}$$