Question

What is 8f^2 + 14f + 5 = 0

Answer 1

`8f^2+14f+5=0\\\\8f^2+10f+4f+5=0\\\\2f(4f+5)+1(4f+5)=0\\\\(4f+5)(2f+1)=0\iff4f+5=0\ \vee\ 2f+1=0\\\\4f+5=0\qquad\text{subtract 5 from both sides}\\\\4f=-5\qquad\text{divide both sides by 4}\\\\f=-(5)/(4)\\\\2f+1=0\qquad\text{subtract 1 from both sides}\\\\2f=-1\qquad\text{divide both sides by 2}\\\\f=-(1)/(2)\\\\Answer:\ \boxed{f=-(5)/(4)\ \vee\ f=-(1)/(2)}`