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8,75:3¾=x:0,75 equation

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Numerical solution:

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The solution

You have entered [src]
 35        
---*3      
4*3      x 
----- = ---
  4     3/4
$$\frac{3 \frac{35}{3 \cdot 4}}{4} = \frac{x}{\frac{3}{4}}$$
Detail solution
Given the linear equation:
(35/4)/3*(3/4) = x/(3/4)

Expand brackets in the left part
35/4/33/4 = x/(3/4)

Expand brackets in the right part
35/4/33/4 = x/3/4

Move free summands (without x)
from left part to right part, we given:
$$0 = \frac{4 x}{3} - \frac{35}{16}$$
Move the summands with the unknown x
from the right part to the left part:
$$\frac{\left(-4\right) x}{3} = - \frac{35}{16}$$
Divide both parts of the equation by -4/3
x = -35/16 / (-4/3)

We get the answer: x = 105/64
The graph
Sum and product of roots [src]
sum
105
---
 64
$$\frac{105}{64}$$
=
105
---
 64
$$\frac{105}{64}$$
product
105
---
 64
$$\frac{105}{64}$$
=
105
---
 64
$$\frac{105}{64}$$
105/64
Rapid solution [src]
     105
x1 = ---
      64
$$x_{1} = \frac{105}{64}$$
x1 = 105/64
Numerical answer [src]
x1 = 1.640625
x1 = 1.640625