Solve equation 3 / 2x - 1 / x+1= 1/ 3x^2 +3x

Question

Please show me steps for equation.

Answer 1

if the problem is (3/2x) - (1/x) + 1 = (1/3x²) + 3x

Multiply both sids by x2 and it becomes (3x/2) - x + x² = (1/3) + 3x³

this becomes .5x + x² = 1/3 + 3x³

rearranging 3x³ - x² - .5x + 1/3 = 0

Using a cubic calculator online, the roots are -.48436 and .40885 +/- i(.24948)