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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*1.3*(1.3X+670)/(X+670))*2.32 = (2.52*(0.3X+670)/(X+670)+1.35*1.3)*2.4*1.2 .
    Question type: Equation
    Solution:Original question:
     (
12
5
(
3
5
 X + 670) ÷ ( X + 670) +
27
20
 ×
13
10
(
13
10
 X + 670) ÷ ( X + 670)) ×
58
25
 = (
63
25
(
3
10
 X + 670) ÷ ( X + 670) +
27
20
 ×
13
10
) ×
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
 ×
13
10
(
13
10
 X + 670) ÷ ( X + 670) ×
58
25
 = (
63
25
(
3
10
 X + 670) ÷ ( X + 670) +
27
20
 ×
13
10
) ×
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
 ×
13
10
(
13
10
 X + 670) ÷ ( X + 670) ×
58
25
 =
63
25
(
3
10
 X + 670) ÷ ( X + 670) ×
12
5
 ×
6
5
 +
27
20
 ×
13
10
 ×
12
5
 ×
6
5
    The equation is reduced to :
     
696
125
(
3
5
 X + 670) ÷ ( X + 670) +
10179
2500
(
13
10
 X + 670) ÷ ( X + 670) =
4536
625
(
3
10
 X + 670) ÷ ( X + 670) +
3159
625
     Multiply both sides of the equation by:( X + 670)
     
696
125
(
3
5
 X + 670) +
10179
2500
(
13
10
 X + 670) =
4536
625
(
3
10
 X + 670) +
3159
625
( X + 670)
    Remove a bracket on the left of the equation:
     
696
125
 ×
3
5
 X +
696
125
 × 670 +
10179
2500
(
13
10
 X + 670) =
4536
625
(
3
10
 X + 670) +
3159
625
( X + 670)
    Remove a bracket on the right of the equation:：
     
696
125
 ×
3
5
 X +
696
125
 × 670 +
10179
2500
(
13
10
 X + 670) =
4536
625
 ×
3
10
 X +
4536
625
 × 670 +
3159
625
( X + 670)
    The equation is reduced to :
     
2088
625
 X +
93264
25
 +
10179
2500
(
13
10
 X + 670) =
6804
3125
 X +
607824
125
 +
3159
625
( X + 670)
    Remove a bracket on the left of the equation:
     
2088
625
 X +
93264
25
 +
10179
2500
 ×
13
10
 X +
10179
2500
 × 670 =
6804
3125
 X +
607824
125
 +
3159
625
( X + 670)
    Remove a bracket on the right of the equation:：
     
2088
625
 X +
93264
25
 +
10179
2500
 ×
13
10
 X +
10179
2500
 × 670 =
6804
3125
 X +
607824
125
 +
3159
625
 X +
3159
625
 × 670
    The equation is reduced to :
     
2088
625
 X +
93264
25
 +
132327
25000
 X +
681993
250
 =
6804
3125
 X +
607824
125
 +
3159
625
 X +
423306
125
    The equation is reduced to :
     
215847
25000
 X +
1614633
250
 =
22599
3125
 X +
206226
25

    Transposition :
     
215847
25000
 X −
22599
3125
 X =
206226
25
 −
1614633
250

    Combine the items on the left of the equation:
     
7011
5000
 X =
206226
25
 −
1614633
250

    Combine the items on the right of the equation:
     
7011
5000
 X =
447627
250

    The coefficient of the unknown number is reduced to 1 :
      X =
447627
250
 ÷
7011
5000
        =
447627
250
 ×
5000
7011
        = 149209 ×
20
2337

    We obtained :
      X =
2984180
2337
    This is the solution of the equation.

    Convert the result to decimal form :
      X = 1276.927685



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