Question

How do you use the zero product property to serve the equation `(x+4)(x-3)= -10`?

Answer 1

You first work toward an `f(x)=0` situation.

Explanation:

Step 1: Work out the left part of the equation:
`->x^2+x-12=-10`

Step 2: Add `10` on both sides:
`->x^2+x-2=0`

Step 3: Factorize:
`->(x+2)(x-1)=0`

Step 4: If a product `=0` then one of the factors must be `=0`
So either : `x+2=0->x=-2` or : `x-1=0->x=+1`