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14/(x-3)=-7/9

14/(x-3)=-7/9 equation

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Numerical solution:

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The solution

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  14        
----- = -7/9
x - 3
14x−3=−79\frac{14}{x - 3} = - \frac{7}{9}
Simplify
Detail solution
Given the equation:
14x−3=−79\frac{14}{x - 3} = - \frac{7}{9}
Use proportions rule:
From a1/b1 = a2/b2 should a1*b2 = a2*b1,
In this case
a1 = 14

b1 = -3 + x

a2 = 1

b2 = -9/7

so we get the equation
(−9)147=x−3\frac{\left(-9\right) 14}{7} = x - 3
−18=x−3-18 = x - 3
Move free summands (without x)
from left part to right part, we given:
0=x+150 = x + 15
Move the summands with the unknown x
from the right part to the left part:
−x=15- x = 15
Divide both parts of the equation by -1
x = 15 / (-1)

We get the answer: x = -15
The graph
-35-30-25-20-15-10-50-2
Plot the graph f1(x)
Plot the graph f2(x)
Sum and product of roots [src] 
sum
-15
−15-15 
=
-15
−15-15 
product
-15
−15-15 
=
-15
−15-15 
-15
Rapid solution [src] 
x1 = -15
x1=−15x_{1} = -15 
x1 = -15
Numerical answer [src] 
x1 = -15.0
x1 = -15.0
The graph
14/(x-3)=-7/9 equation
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