Question

(3x-4)(4x-3)-(2x-7)(3x-2)=214"

Answer 1

(3x-4)(4x-3)-(2x-7)(3x-2)=214
12x²-9x-16x+12-(6x²-4x-21x+14)=214
12x²-9x-16x+12-6x²+4x+21x-14=214
6x²-2=214
6x²=214+2
6x²=216
x²=216/6
x²=36
x=√36
x=6

Answer 2

12x^2 - 9x - 16x + 12 - ( 6x^2 - 21x +14 )

12x^2 - 25x + 12 - (6x^2 -25x + 14 )

12x^2 - 25 + 12 - 6x^2 + 25x - 14 

6x^2 - 2 = 214

x^2= (214 + 2)/6

x^2= 36
x=(36)^1/2
x=6