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    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 (13600-901)*0.3/901 = (x*2*2.33*2.33)/(0.006*2*9.81) .
    Question type: Equation
    Solution:Original question:
     (13600901) ×
3
10
÷ 901 = ( x × 2 ×
233
100
×
233
100
) ÷ (
3
500
× 2 ×
981
100
)
     Multiply both sides of the equation by:(
3
500
× 2 ×
981
100
)
     (13600901) ×
3
10
÷ 901 × (
3
500
× 2 ×
981
100
) = ( x × 2 ×
233
100
×
233
100
)
    Remove a bracket on the left of the equation::
     13600 ×
3
10
÷ 901 × (
3
500
× 2 ×
981
100
)901 ×
3
10
÷ 901 × (
3
500
× 2 ×
981
100
) = ( x × 2 ×
233
100
×
233
100
)
    Remove a bracket on the right of the equation::
     13600 ×
3
10
÷ 901 × (
3
500
× 2 ×
981
100
)901 ×
3
10
÷ 901 × (
3
500
× 2 ×
981
100
) = x × 2 ×
233
100
×
233
100
    The equation is reduced to :
     
240
53
(
3
500
× 2 ×
981
100
)
3
10
(
3
500
× 2 ×
981
100
) = x ×
54289
5000
    Remove a bracket on the left of the equation:
     
240
53
×
3
500
× 2 ×
981
100
3
10
(
3
500
× 2 ×
981
100
) =
54289
5000
x
    The equation is reduced to :
     
17658
33125
3
10
(
3
500
× 2 ×
981
100
) =
54289
5000
x
    Remove a bracket on the left of the equation:
     
17658
33125
3
10
×
3
500
× 2 ×
981
100
=
54289
5000
x
    The equation is reduced to :
     
17658
33125
8829
250000
=
54289
5000
x
    The equation is reduced to :
     
6595263
13250000
=
54289
5000
x

    Transposition :
      -
54289
5000
x = -
6595263
13250000

    By shifting the terms and changing the symbols on toth sides of the equation, we obtain :
     
6595263
13250000
=
54289
5000
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 :
     
54289
5000
x =
6595263
13250000

    The coefficient of the unknown number is reduced to 1 :
      x =
6595263
13250000
÷
54289
5000
        =
6595263
13250000
×
5000
54289
        =
6595263
2650
×
1
54289

    We obtained :
      x =
6595263
143865850
    This is the solution of the equation.

    Convert the result to decimal form :
      x = 0.045843



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