SOLUTION: 2x^3-3x^2=12-8x? here's my work: x^2(2x-3) 4(2x-3) (x^2+4)(2x-3) x^2+4=0 2x-3=0 x=2i x=3/2

Algebra ->  Equations -> SOLUTION: 2x^3-3x^2=12-8x? here's my work: x^2(2x-3) 4(2x-3) (x^2+4)(2x-3) x^2+4=0 2x-3=0 x=2i x=3/2      Log On


   



Question 218439: 2x^3-3x^2=12-8x?
here's my work:
x^2(2x-3) 4(2x-3)
(x^2+4)(2x-3)
x^2+4=0 2x-3=0
x=2i x=3/2

Answer by jim_thompson5910(35256) About Me  (Show Source):
You can put this solution on YOUR website!
When solving x%5E2%2B4=0, the solutions are x=-2i or x=2i (don't forget about the plus/minus of the square root).

So the three solutions are x=-2i, x=2i or x=3%2F2. Take note how the degree of the equation is 3 and that there are 3 solutions.