Question

Complete the equivalent equation for –7x – 60 = x2 + 10x. (x + )(x + ) = 0 What are the solutions of –7x – 60 = x2 + 10x? x =

Answer 1

first get them all on one side
add 7x+60 to both sides
0=x^2+17x+60
now factor
what 2 numbers mutltiply to get 60 and add to get 17?
5 and 12
0=(x+5)(x+12)
set each to zero

0=x+5
-5=x

0=x+12
-12=x



the factored form is (x+5)(x+12)=0
the solutions are x=-12 and -5