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

1 Answer
Oct 19, 2015

Answer:

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#