00:01
We have to factorize the equation 16x square minus 48 x is equal to minus 27.
00:08
So to factorize it, first of all, we'll take the constant term on the left side and rewrite the equation as 16x square minus 48x plus 27 is equal to 0.
00:20
Now we'll factorize the product of 16x square into 27.
00:24
So we'll get the factors of 432x squared as 36 and 12.
00:30
And we can rewrite this equation as 16x square minus 36x minus 12x plus 27 is equal to 0.
00:39
So we have taken the factors of 16x square and 27 as 3612 because when we add minus 36 and minus 12, we get minus 48x, which is the middle term.
00:50
Now, from the first part, if we take 4x common, we'll be left with 4x minus 9 inside.
00:58
And from the second part, if we take 3 common, we'll be again left with 4x minus 9 inside the brackets...