Answer:
3/2 or -2/5
Step-by-step explanation:
Get everything on one side because this is a quadratic....
subtract 4 on both sides
subtract 5x on both sides
add 7x^2 on both sides
this gives us:
10x^2-11x-6=0
Now we can try to factor or just hop right into the quadratic formula
D=b^2-4ac=121-4(10)(-6)=121+240=361
sqrt(D)=sqrt(b^2-4ac)=19 where this is the sqrt(discriminant) so it would have factored nicely since this come out to be a whole number.
Anyways the quadratic formula says to do x=(-b (pm) sqrt(D))/(2a)
*(pm) means plus or minus*
So x=(11 (pm) 19)/(20)
So x=30/20=3/2 or -8/20=-2/5
(do you want to show factored form and do it that way)
