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x+3x+500=2.100 equation

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You have entered [src]

                21
x + 3*x + 500 = --
                10

$$\left(x + 3 x\right) + 500 = \frac{21}{10}$$

Simplify

Detail solution

Given the linear equation:

x+3*x+500 = (21/10)

Expand brackets in the right part

x+3*x+500 = 21/10

Looking for similar summands in the left part:

500 + 4*x = 21/10

Move free summands (without x)
from left part to right part, we given:
$$4 x = - \frac{4979}{10}$$
Divide both parts of the equation by 4

x = -4979/10 / (4)

We get the answer: x = -4979/40

Rapid solution [src]

     -4979 
x1 = ------
       40

$$x_{1} = - \frac{4979}{40}$$

x1 = -4979/40

Sum and product of roots [src]

sum

-4979 
------
  40

$$- \frac{4979}{40}$$

-4979 
------
  40

$$- \frac{4979}{40}$$

product

-4979 
------
  40

$$- \frac{4979}{40}$$

-4979 
------
  40

$$- \frac{4979}{40}$$

-4979/40

Numerical answer [src]

x1 = -124.475

x1 = -124.475