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On line Solution of Monovariate Equation:
    Input any unary equation directly, and then click the "Next" button to obtain the solution of the equation.
    It supports equations that contain mathematical functions.
    Current location:Equations > Monovariate Equation > The history of univariate equation calculation > Answer
    Overview: 1 questions will be solved this time.Among them
           ☆1 equations

[ 1/1 Equation]
    Work: Find the solution of equation 35/(10*(x+3.8)/(13.8+x)+35) = 2.73/12 .
    Question type: Equation
    Solution:Original question:
     35 ÷ (10( x +
19
5
) ÷ (
69
5
+ x ) + 35) =
273
100
÷ 12
     Multiply both sides of the equation by:(10( x +
19
5
) ÷ (
69
5
+ x ) + 35)
     35 =
273
100
÷ 12 × (10( x +
19
5
) ÷ (
69
5
+ x ) + 35)
    Remove a bracket on the right of the equation::
     35 =
273
100
÷ 12 × 10( x +
19
5
) ÷ (
69
5
+ x ) +
273
100
÷ 12 × 35
    The equation is reduced to :
     35 =
91
40
( x +
19
5
) ÷ (
69
5
+ x ) +
637
80
     Multiply both sides of the equation by:(
69
5
+ x )
     35(
69
5
+ x ) =
91
40
( x +
19
5
) +
637
80
(
69
5
+ x )
    Remove a bracket on the left of the equation:
     35 ×
69
5
+ 35 x =
91
40
( x +
19
5
) +
637
80
(
69
5
+ x )
    Remove a bracket on the right of the equation::
     35 ×
69
5
+ 35 x =
91
40
x +
91
40
×
19
5
+
637
80
(
69
5
+ x )
    The equation is reduced to :
     483 + 35 x =
91
40
x +
1729
200
+
637
80
(
69
5
+ x )
    Remove a bracket on the right of the equation::
     483 + 35 x =
91
40
x +
1729
200
+
637
80
×
69
5
+
637
80
x
    The equation is reduced to :
     483 + 35 x =
91
40
x +
1729
200
+
43953
400
+
637
80
x
    The equation is reduced to :
     483 + 35 x =
819
80
x +
47411
400

    Transposition :
     35 x
819
80
x =
47411
400
483

    Combine the items on the left of the equation:
     
1981
80
x =
47411
400
483

    Combine the items on the right of the equation:
     
1981
80
x = -
145789
400

    The coefficient of the unknown number is reduced to 1 :
      x = -
145789
400
÷
1981
80
        = -
145789
400
×
80
1981
        = -
20827
5
×
1
283

    We obtained :
      x = -
20827
1415
    This is the solution of the equation.

    Convert the result to decimal form :
      x = - 14.718728



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