Let a and b be the solutions of the equation 2x^2+6x-14=x^2-8x+2. What is the value of (2a-3)(4b-6)?

This was literally posted yesterday.

https://web2.0calc.com/questions/help-please_74857#r4

Find BuilderBoi's answer. And, I think CPhill will give you one also!

Rearrange as

x^2 + 14x - 16 = 0

Sum of roots = a + b = -14

Product of roots = ab = -16

(2a - 3) ( 4b - 6) =

12ab - 12a - 12b + 18 =

12ab -12 (a + b) + 18 =

12 (-16) - 12 (-14) + 18 =

-192 + 168 + 18 =

-6