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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 129360x+1193430000 = 16.1×1600×0.9×138.75×(0.9x-0.45×138.75) .
    Question type: Equation
    Solution:Original question:
     129360 x + 1193430000 =
161
10
× 1600 ×
9
10
×
555
4
(
9
10
x
9
20
×
555
4
)
     Right side of the equation = 3216780(
9
10
x
9
20
×
555
4
)
    The equation is transformed into :
     129360 x + 1193430000 = 3216780(
9
10
x
9
20
×
555
4
)
    Remove the bracket on the right of the equation:
     Right side of the equation = 3216780 ×
9
10
x 3216780 ×
9
20
×
555
4
                                               = 2895102 x
803390805
4
    The equation is transformed into :
     129360 x + 1193430000 = 2895102 x
803390805
4

    Transposition :
     129360 x 2895102 x = -
803390805
4
1193430000

    Combine the items on the left of the equation:
      - 2765742 x = -
803390805
4
1193430000

    Combine the items on the right of the equation:
      - 2765742 x = -
5577110805
4

    By shifting the terms and changing the symbols on toth sides of the equation, we obtain :
     
5577110805
4
= 2765742 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 :
     2765742 x =
5577110805
4

    The coefficient of the unknown number is reduced to 1 :
      x =
5577110805
4
÷ 2765742
        =
5577110805
4
×
1
2765742
        =
265576705
4
×
1
131702

    We obtained :
      x =
265576705
526808
    This is the solution of the equation.

    Convert the result to decimal form :
      x = 504.124282



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