Question

How to isolate t in 3tx-5x=(t+2)(t-3)-t^2-1/x

Answer 1

Answer: t = (5x² - 6x - 1)/(3x² - 5x²)

Explanation:

3tx - 5x = (t + 2)(t - 3) - t² -
`(1)/(x)`

3tx - 5x = t² - t - 6 - t² -
`(1)/(x)`

3tx - 5x = - t - 6 -
`(1)/(x)`

3tx² - 5x² = -tx - 6x - 1

+tx + 5x² +tx + 5x²

3tx² + tx = 5x² - 6x - 1

t(3x² - 5x²) = 5x² - 6x - 1

÷ (3x² - 5x²) ÷ (3x² - 5x²)

t = (5x² - 6x - 1)/(3x² - 5x²)