Write a quadratic equation that can be solved by factoring. Solve your equation and show and explain all your work.

The first thing would be to start with an equation that is already factored:

(x + 3) * (x - 2)

Then we multiply it:

x^2 + x - 6 = 0

a = 1 b = 1 c = - 6

We can solve that with the quadratic formula:

x = [-b + - sq root (b^2 - 4*a*c) ] / 2*a

x = [-1 + - sq root (1 - 4 * 1*-6) ] / 2

x = [-1 + - sq root (25) ] / 2

x = (-1 + 5) / 2

x1 = 2

x2 = (-1 - 5) / 2

x2 = - 3