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yaroslaw [1]
3 years ago
11

Solve the equation 2x+3/3 - 3x/2=-4Fast please

Mathematics
1 answer:
alina1380 [7]3 years ago
6 0

Answer:

x = 6

Step-by-step explanation:

Assuming the equation is

\frac{2x+3}{3} - \frac{3x}{2} = - 4

Multiply through by 6 ( the LCM of 3 and 2 ) to clear the fractions

2(2x + 3) - 9x = - 24

4x + 6 - 9x = - 24

- 5x + 6 = - 24 ( subtract 6 from both sides )

- 5x = - 30 ( divide both sides by - 5 )

x = 6

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Simplify completely quantity 4 x squared minus 32 x plus 48 all over quantity 3 x squared minus 17 x minus 6. (1 point)
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Given rational expression is:


\frac{(4x^2-32x+48)}{(3x^2-17x-6)}

Now we can simplify this by factoring as shown below:


=\frac{4(x^2-8x+12)}{(3x^2-17x-6)}


=\frac{4(x-2)\left(x-6\right)}{(3x^2-18x+1x-6)}


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Hence final answer is \frac{4(x-2)}{(3x+1)}




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3 years ago
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