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6/(x+5)=-5

6/(x+5)=-5 equation

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Numerical solution:

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The solution

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  6       
----- = -5
x + 5
6x+5=−5\frac{6}{x + 5} = -5
Simplify
Detail solution
Given the equation:
6x+5=−5\frac{6}{x + 5} = -5
Use proportions rule:
From a1/b1 = a2/b2 should a1*b2 = a2*b1,
In this case
a1 = 6

b1 = 5 + x

a2 = 1

b2 = -1/5

so we get the equation
(−1)65=x+5\frac{\left(-1\right) 6}{5} = x + 5
−65=x+5- \frac{6}{5} = x + 5
Move free summands (without x)
from left part to right part, we given:
0=x+3150 = x + \frac{31}{5}
Move the summands with the unknown x
from the right part to the left part:
−x=315- x = \frac{31}{5}
Divide both parts of the equation by -1
x = 31/5 / (-1)

We get the answer: x = -31/5
The graph
-22.5-20.0-17.5-15.0-12.5-10.0-7.5-5.0-2.50.02.55.0-2000020000
Plot the graph f1(x)
Plot the graph f2(x)
Rapid solution [src] 
x1 = -31/5
x1=−315x_{1} = - \frac{31}{5} 
x1 = -31/5
Sum and product of roots [src] 
sum
-31/5
−315- \frac{31}{5} 
=
-31/5
−315- \frac{31}{5} 
product
-31/5
−315- \frac{31}{5} 
=
-31/5
−315- \frac{31}{5} 
-31/5
Numerical answer [src] 
x1 = -6.2
x1 = -6.2
The graph
6/(x+5)=-5 equation
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