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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 360*1521+360*509+1276.6*（0.8-x/300）*509 = 14.3*400x .
    Question type: Equation
    Solution:Original question:
     360 × 1521 + 360 × 509 +
6383
5
(
4
5
 − x ÷ 300) × 509 =
143
10
 × 400 x
     Left side of the equation = 547560 + 183240 +
3248947
5
(
4
5
 − x ÷ 300)
                                             = 730800 +
3248947
5
(
4
5
 − x ÷ 300)
    The equation is transformed into :
     730800 +
3248947
5
(
4
5
 − x ÷ 300) =
143
10
 × 400 x
    Remove the bracket on the left of the equation:
     Left side of the equation = 730800 +
3248947
5
 ×
4
5
 −
3248947
5
 x ÷ 300
                                             = 730800 +
12995788
25
 −
3248947
1500
 x
                                             =
31265788
25
 −
3248947
1500
 x
    The equation is transformed into :
     
31265788
25
 −
3248947
1500
 x =
143
10
 × 400 x
     Right side of the equation = 5720 x
    The equation is transformed into :
     
31265788
25
 −
3248947
1500
 x = 5720 x

    Transposition :
      -
3248947
1500
 x − 5720 x = -
31265788
25

    Combine the items on the left of the equation:
      -
11828947
1500
 x = -
31265788
25

    By shifting the terms and changing the symbols on toth sides of the equation, we obtain :
     
31265788
25
 =
11828947
1500
 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 :
     
11828947
1500
 x =
31265788
25

    The coefficient of the unknown number is reduced to 1 :
      x =
31265788
25
 ÷
11828947
1500
        =
31265788
25
 ×
1500
11828947
        = 31265788 ×
60
11828947

    We obtained :
      x =
1875947280
11828947
    This is the solution of the equation.

    Convert the result to decimal form :
      x = 158.589541



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