Answer:
3x² + 20x + 12 = 0
Explanation:
The LCD for the given equation is 2x²
We will multiply each term by this factor as follows:
1- Left hand side:
[tex] \frac{x^2 - x - 6}{x^2} [/tex] * 2x² = 2x² - 2x - 12 ...........> I
2- Right hand side:
First term:
[tex] \frac{x - 6}{2x} [/tex] * 2x² = x² - 6x ..............> II
Second term:
[tex] \frac{2x + 12}{x} [/tex] * 2x² = 4x² + 24x .............> III
From I, II and III, the equation now becomes:
2x² - 2x - 12 = x² - 6x + 4x² + 24x
2x² - 2x - 12 = 5x² + 18x
5x² + 18x - 2x² + 2x + 12 = 0
3x² + 20x + 12 = 0
Hope this helps :)
