Question

HELP ASAP PLS after multiplying each side of the equation by the LCD and simplifying, the resulting equation is .

Answer 1

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:
$\frac{x^2 - x - 6}{x^2}$ * 2x² = 2x² - 2x - 12 ...........> I

2- Right hand side:
First term:
$\frac{x - 6}{2x}$ * 2x² = x² - 6x ..............> II

Second term:
$\frac{2x + 12}{x}$ * 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 :)