Answer:
=2 =−2
Step-by-step explanation:
Common factor
16 2 − 64 = 0
16(2 − 4)= 0
Use the sum-product pattern
16(2−4)=0
16(2 + 2 − 2 − 4) = 0
Common factor from the two pairs
16(( 2 + 2) + (−2 − 4)) = 0
16 ( ( + 2 ) − 2 ( + 2 ) ) = 0
Rewrite in factored form
16 ( ( + 2 ) − 2 ( + 2 ) ) = 0
1 6 ( − 2 ) ( + 2 ) = 0
Create separate equations
16 ( − 2 ) ( + 2 ) = 0
− 2 = 0
+ 2 = 0
Solve / Rearrange and isolate the variable to find each solution
= − 2
= 2
