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9,4x-7,8x+0,52=1

9,4x-7,8x+0,52=1 equation

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Numerical solution:

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The solution

You have entered [src]
47*x   39*x   13    
---- - ---- + -- = 1
 5      5     25    
$$- \frac{39 x}{5} + \frac{47 x}{5} + \frac{13}{25} = 1$$
Detail solution
Given the linear equation:
(47/5)*x-(39/5)*x+(13/25) = 1

Expand brackets in the left part
47/5x-39/5x+13/25 = 1

Looking for similar summands in the left part:
13/25 + 8*x/5 = 1

Move free summands (without x)
from left part to right part, we given:
$$\frac{8 x}{5} = \frac{12}{25}$$
Divide both parts of the equation by 8/5
x = 12/25 / (8/5)

We get the answer: x = 3/10
The graph
Rapid solution [src]
x_1 = 3/10
$$x_{1} = \frac{3}{10}$$
Sum and product of roots [src]
sum
3/10
$$\left(\frac{3}{10}\right)$$
=
3/10
$$\frac{3}{10}$$
product
3/10
$$\left(\frac{3}{10}\right)$$
=
3/10
$$\frac{3}{10}$$
Numerical answer [src]
x1 = 0.3
x1 = 0.3
The graph
9,4x-7,8x+0,52=1 equation