Hiiiii frnd today i will tell you the simplest trick to split the middle term of a quadratic equation

i seem to that many students get stuck in this problem and this problem was also a major problem for me

so,

this is a quadratic equation

x2+10x+24=0

so what m i will say hear it perfectly 

first of all multiply the 1st term n 3rd term

1*24=24

now take 2 number such that

by multiplying we can get 24

[and if the 2nd sign is + so you must the number such that by adding them you must get 10

and if the 2nd sign is - so you must the number such that by subtracting you must get 10]

so the 2nd sign is +

so you must take the number such that by adding them you must get 10

they 6 n 4

6+4=10

n

6*4=24

and the again major problem is of sign but don't worry i have a simple trick for it

[if the 2nd sign is + you must give the sign of middle term to both the variables 

n 

if  the 2nd sign is - you must give the sign of middle term to bigger variable n the oppiste sign to the smaller one

so,my equation will be

x2+6x+4x+24=0

so, now take the commom

x(x+6)+4(x+6)=0

now take the common bracket once n take the other variables in bracket

(x+6)(x+4)=0

so

either, 

x+6=0

x=-6

or 

x+4=0

x=-4

so the answers are (-6,-4)

so plzz comment n give me feedback at nikhilsuhani1@gmail.com