Question

9X2-424X+3600=0
factorisation method

Answer 1

Step  1  :

Equation at the end of step  1  :

(32x2 - 424x) + 3600 = 0

Step  2  :

Trying to factor by splitting the middle term

 2.1     Factoring  9x2-424x+3600 

The first term is,  9x2  its coefficient is  9 .
The middle term is,  -424x  its coefficient is  -424 .
The last term, "the constant", is  +3600 

Step-1 : Multiply the coefficient of the first term by the constant   9 • 3600 = 32400 

Step-2 : Find two factors of  32400  whose sum equals the coefficient of the middle term, which is   -424 .

     -32400   +   -1   =   -32401     -16200   +   -2   =   -16202     -10800   +   -3   =   -10803     -8100   +   -4   =   -8104     -6480   +   -5   =   -6485     -5400   +   -6   =   -5406     -4050   +   -8   =   -4058     -3600   +   -9   =   -3609     -3240   +   -10   =   -3250     -2700   +   -12   =   -2712     -2160   +   -15   =   -2175     -2025   +   -16   =   -2041     -1800   +   -18   =   -1818     -1620   +   -20   =   -1640     -1350   +   -24   =   -1374     -1296   +   -25   =   -1321     -1200   +   -27   =   -1227     -1080   +   -30   =   -1110     -900   +   -36   =   -936     -810   +   -40   =   -850     -720   +   -45   =   -765     -675   +   -48   =   -723     -648   +   -50   =   -698     -600   +   -54   =   -654     -540   +   -60   =   -600     -450   +   -72   =   -522     -432   +   -75   =   -507     -405   +   -80   =   -485     -400   +   -81   =   -481     -360   +   -90   =   -450     -324   +   -100   =   -424   That's it


Step-3 : Rewrite the polynomial splitting the middle term using the two factors found in step 2 above,  -324  and  -100 
                     9x2 - 324x - 100x - 3600

Step-4 : Add up the first 2 terms, pulling out like factors :
                    9x • (x-36)
              Add up the last 2 terms, pulling out common factors :
                    100 • (x-36)
Step-5 : Add up the four terms of step 4 :
                    (9x-100)  •  (x-36)
             Which is the desired factorization

Answer 2

I want to give you a simple solution .l hope this will be easy to solve your problem.

We have : 9x2 - 424 + 3600 = 0

Solution :9x2- ( 324 + 100 ) + 3600= 0

9x2- 324x - 100x + 3600 = 0

9x( x - 36 ) - 100( x - 36 ) = 0

( x - 36 ) ( 9x - 100 ) = 0

If x - 36 = 0

Then the value of x = 36

And

If 9x - 100 = 0

Then the value of x = 11.111