Answer: x= (2)/5 & x= (-2)/5
Explanation:
Factor Form:
1. Use the sum product patturn
25x^2-4=0 → 25x^2+10-10-4=0
2. Common factors from each pair
25x^2+10-10-4=0 → 5x(5x+2)-2(5x+2)=0
3. Rewrite the factored form
5x(5x+2)-2(5x+2)=0 → (5x+2)(5x-2)=0
4. Create separate equations
(5x+2)(5x-2)=0 → 5x+2=0 5x-2=0
5. Solve
5x+2=0 5x-2=0 → x=(2)/5 x=(-2)/5