# How do you factor and solve #16x^2-48x= -27#?

##### 1 Answer

May 23, 2015

Converted trinomial: y' = x^2 - 48x + 432 = (x - p')(x - q').

Find p' and q' by composing factor pairs of a.c = 432. Proceed: ...(8, 54)(12, 36). This last sum is 12 + 36 = 48 = -b. Then p' = -12 and q' = -36. Then,

Finally:

Check by developing: y = 16x^2 - 36x - 12x + 27. OK

Solving y = 0 --> (4x - 3) = 0 -->

(4x - 9) = 0 ->

The new AC Method is fast, systematic, no guessing, no factoring by grouping and no solving binomials.