OK, (2x^2) = 3x - 2. Do you subtract the x squared and use the quadratic equation? Or am I thinking of something else? I forgot how to isolate to just get an x. I mean you could get x = 3 but to double check it is wrong 18 doesn't equal 7.
2x² = 3x - 2
Transpose everything to the left
2x² - 3x + 2 = 0
Factoring. (I hope you already know how to do that)
It is not factorable so use the quadratic formula
x = {3 ± â[(-3)² - 4(2)(2)]}/2(2)
x = {3 ± â-7}/4
x = (3 ± iâ7)/4
x = (3 - iâ7)/4,
or x = (3 + iâ7)/4
I hate this. A nonfactorable quadratic equation with complex roots at that.