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3,9-6x+2,1x-4,5=0 equation

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Numerical solution:

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The solution

You have entered [src]
39         21*x   9    
-- - 6*x + ---- - - = 0
10          10    2    
$$\left(\frac{21 x}{10} + \left(\frac{39}{10} - 6 x\right)\right) - \frac{9}{2} = 0$$
Detail solution
Given the linear equation:
(39/10)-6*x+(21/10)*x-(9/2) = 0

Expand brackets in the left part
39/10-6*x+21/10x-9/2 = 0

Looking for similar summands in the left part:
-3/5 - 39*x/10 = 0

Move free summands (without x)
from left part to right part, we given:
$$- \frac{39 x}{10} = \frac{3}{5}$$
Divide both parts of the equation by -39/10
x = 3/5 / (-39/10)

We get the answer: x = -2/13
The graph
Rapid solution [src]
x1 = -2/13
$$x_{1} = - \frac{2}{13}$$
x1 = -2/13
Sum and product of roots [src]
sum
-2/13
$$- \frac{2}{13}$$
=
-2/13
$$- \frac{2}{13}$$
product
-2/13
$$- \frac{2}{13}$$
=
-2/13
$$- \frac{2}{13}$$
-2/13
Numerical answer [src]
x1 = -0.153846153846154
x1 = -0.153846153846154