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-0,2m-5(0,4+0,6m)=1,8m-1,6 equation

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Numerical solution:

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The solution

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  m     /2   3*m\   9*m   8
- - - 5*|- + ---| = --- - -
  5     \5    5 /    5    5
$$- \frac{m}{5} - 5 \left(\frac{3 m}{5} + \frac{2}{5}\right) = \frac{9 m}{5} - \frac{8}{5}$$
Detail solution
Given the linear equation:
-(1/5)*m-5*((2/5)+(3/5)*m) = (9/5)*m-(8/5)

Expand brackets in the left part
-1/5m-5*2/5+3/5m) = (9/5)*m-(8/5)

Expand brackets in the right part
-1/5m-5*2/5+3/5m) = 9/5m-8/5

Move free summands (without m)
from left part to right part, we given:
$$- \frac{16 m}{5} = \frac{9 m}{5} + \frac{2}{5}$$
Move the summands with the unknown m
from the right part to the left part:
$$\left(-5\right) m = \frac{2}{5}$$
Divide both parts of the equation by -5
m = 2/5 / (-5)

We get the answer: m = -2/25
The graph
Sum and product of roots [src]
sum
-2/25
$$- \frac{2}{25}$$
=
-2/25
$$- \frac{2}{25}$$
product
-2/25
$$- \frac{2}{25}$$
=
-2/25
$$- \frac{2}{25}$$
-2/25
Rapid solution [src]
m1 = -2/25
$$m_{1} = - \frac{2}{25}$$
m1 = -2/25
Numerical answer [src]
m1 = -0.08
m1 = -0.08