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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 (2.4*(0.6X+670)/(X+670)+1.35*1.5*(1.3X+670)/(X+670))*2.32 = (2.52*(0.3X+670)/(X+670)+1.35*1.5)*2.4*1.2 .
    Question type: Equation
    Solution:Original question:
     (
12
5
(
3
5
 X + 670) ÷ ( X + 670) +
27
20
 ×
3
2
(
13
10
 X + 670) ÷ ( X + 670)) ×
58
25
 = (
63
25
(
3
10
 X + 670) ÷ ( X + 670) +
27
20
 ×
3
2
) ×
12
5
 ×
6
5
    Remove a bracket on the left of the equation:：
     
12
5
(
3
5
 X + 670) ÷ ( X + 670) ×
58
25
 +
27
20
 ×
3
2
(
13
10
 X + 670) ÷ ( X + 670) ×
58
25
 = (
63
25
(
3
10
 X + 670) ÷ ( X + 670) +
27
20
 ×
3
2
) ×
12
5
 ×
6
5
    Remove a bracket on the right of the equation:：
     
12
5
(
3
5
 X + 670) ÷ ( X + 670) ×
58
25
 +
27
20
 ×
3
2
(
13
10
 X + 670) ÷ ( X + 670) ×
58
25
 =
63
25
(
3
10
 X + 670) ÷ ( X + 670) ×
12
5
 ×
6
5
 +
27
20
 ×
3
2
 ×
12
5
 ×
6
5
    The equation is reduced to :
     
696
125
(
3
5
 X + 670) ÷ ( X + 670) +
2349
500
(
13
10
 X + 670) ÷ ( X + 670) =
4536
625
(
3
10
 X + 670) ÷ ( X + 670) +
729
125
     Multiply both sides of the equation by:( X + 670)
     
696
125
(
3
5
 X + 670) +
2349
500
(
13
10
 X + 670) =
4536
625
(
3
10
 X + 670) +
729
125
( X + 670)
    Remove a bracket on the left of the equation:
     
696
125
 ×
3
5
 X +
696
125
 × 670 +
2349
500
(
13
10
 X + 670) =
4536
625
(
3
10
 X + 670) +
729
125
( X + 670)
    Remove a bracket on the right of the equation:：
     
696
125
 ×
3
5
 X +
696
125
 × 670 +
2349
500
(
13
10
 X + 670) =
4536
625
 ×
3
10
 X +
4536
625
 × 670 +
729
125
( X + 670)
    The equation is reduced to :
     
2088
625
 X +
93264
25
 +
2349
500
(
13
10
 X + 670) =
6804
3125
 X +
607824
125
 +
729
125
( X + 670)
    Remove a bracket on the left of the equation:
     
2088
625
 X +
93264
25
 +
2349
500
 ×
13
10
 X +
2349
500
 × 670 =
6804
3125
 X +
607824
125
 +
729
125
( X + 670)
    Remove a bracket on the right of the equation:：
     
2088
625
 X +
93264
25
 +
2349
500
 ×
13
10
 X +
2349
500
 × 670 =
6804
3125
 X +
607824
125
 +
729
125
 X +
729
125
 × 670
    The equation is reduced to :
     
2088
625
 X +
93264
25
 +
30537
5000
 X +
157383
50
 =
6804
3125
 X +
607824
125
 +
729
125
 X +
97686
25
    The equation is reduced to :
     
47241
5000
 X +
343911
50
 =
25029
3125
 X +
1096254
125

    Transposition :
     
47241
5000
 X −
25029
3125
 X =
1096254
125
 −
343911
50

    Combine the items on the left of the equation:
     
35973
25000
 X =
1096254
125
 −
343911
50

    Combine the items on the right of the equation:
     
35973
25000
 X =
472953
250

    The coefficient of the unknown number is reduced to 1 :
      X =
472953
250
 ÷
35973
25000
        =
472953
250
 ×
25000
35973
        = 157651 ×
100
11991

    We obtained :
      X =
15765100
11991
    This is the solution of the equation.

    Convert the result to decimal form :
      X = 1314.744392



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