Respuesta :

Answer:

Two solutions were found :

x =(-35-√1393)/14=-5/2-1/14√ 1393 = -5.166

x =(-35+√1393)/14=-5/2+1/14√ 1393 = 0.166

Step-by-step explanation:

Two real solutions:

x =(-35+√1393)/14=-5/2+1/14√ 1393 = 0.166

or:

x =(-35-√1393)/14=-5/2-1/14√ 1393 = -5.166

Two solutions were found :

x =(-35-√1393)/14=-5/2-1/14√ 1393 = -5.166

x =(-35+√1393)/14=-5/2+1/14√ 1393 = 0.166

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First, get the x out of the denominators on both sides by multiplying the entire equation by 3x(x+5) because it's the LCM of both denominators

7/3x*3x(x+5) = 2/(x+5) * 3x(x+5)  (The underlined bits cancel out because they're the same)

So now you have 7(x+5) = 2(3x)

From there, you can simplify it further.

7(x+5) = 2(3x)

7x + 35 = 6x

7x - 6x + 35 = 6x - 6x

x + 35 = 0

x + 35 - 35 = 0 - 35

x = -35

Tada!

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