how do you factor 2x-3=8x^3-12x^2?

Question

how do you factor this polynomial?

Answer 1

2x-3=8x^3-12x^2

8x^3-12x^2-2x+3=0

4x^2(2x-3)-2x+3=0

4x^2(2x-3)-(2x-3)=0

(2x-3)(4x^2-1)=0

(2x-3)(2x-1)(2x+1)=0 ⇒2x-3=0  x=3/2        2x-1=0  x=1/2        2x+1=0   x=-1/2

Answer 2

12 x 2 7/8 =

A man is 62 1/18 inches tall and his daughter is 58 1/4 inches tall.  How much taller is the man?

Answer 3

2x-3)(2x-1)(2x+1)=0

⇒2x-3=0  x=3/2      

  2x-1=0  x=1/2    

  2x+1=0   x=-1/2