79.1k views
5 votes
After multiplying each side of the equation by the LCD and simplify , the resulting equation is

After multiplying each side of the equation by the LCD and simplify , the resulting-example-1
User Ali Kazi
by
8.2k points

1 Answer

6 votes
After multiplying each side of the equation by the LCD, the result will be
2(x² - x - 6) = x(x - 6) + 2x(2x + 12)

Then simplify and move all expression the the left of equal sign
2(x² - x - 6) = x(x - 6) + 2x(2x + 12)
2x² - 2x - 12 = x² - 6x + 4x² + 24x
2x² - x² - 4x² -2x + 6x - 24x - 12 = 0
-3x² -20x - 12 = 0

Multiply each side by -1
-3x² -20x - 12 = 0
3x² + 20x + 12 = 0

The answer is third option
User Erict
by
8.9k points