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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 X/1650+0.4+60/108+50/130 = 0.00374(319.5+X) .
    Question type: Equation
    Solution:Original question:
      X ÷ 1650 +
2
5
+ 60 ÷ 108 + 50 ÷ 130 =
187
50000
(
639
2
+ X )
     Left side of the equation = X ×
1
1650
+
2
5
+
5
9
+
5
13
                                             =
1
1650
X +
784
585
    The equation is transformed into :
     
1
1650
X +
784
585
=
187
50000
(
639
2
+ X )
    Remove the bracket on the right of the equation:
     Right side of the equation =
187
50000
×
639
2
+
187
50000
X
                                               =
119493
100000
+
187
50000
X
    The equation is transformed into :
     
1
1650
X +
784
585
=
119493
100000
+
187
50000
X

    Transposition :
     
1
1650
X
187
50000
X =
119493
100000
784
585

    Combine the items on the left of the equation:
      -
5171
1650000
X =
119493
100000
784
585

    Combine the items on the right of the equation:
      -
5171
1650000
X = -
1699319
11700000

    By shifting the terms and changing the symbols on toth sides of the equation, we obtain :
     
1699319
11700000
=
5171
1650000
X

    If the left side of the equation is equal to the right side, then the right side must also be equal to the left side, that is :
     
5171
1650000
X =
1699319
11700000

    The coefficient of the unknown number is reduced to 1 :
      X =
1699319
11700000
÷
5171
1650000
        =
1699319
11700000
×
1650000
5171
        =
1699319
78
×
11
5171

    We obtained :
      X =
18692509
403338
    This is the solution of the equation.

    Convert the result to decimal form :
      X = 46.344527



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