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ladessa [460]
4 years ago
9

After multiplying each side of the equation by the LCD and simplify , the resulting equation is

Mathematics
1 answer:
Orlov [11]4 years ago
7 0
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
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The fractions have unlike denominators. First, find the Least Common Denominator and rewrite the fractions with the common denominator.

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Multiply both the numerator and denominator of each fraction by the number that makes its denominator equal the LCD. This is basically multiplying each fraction by 1.

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