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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 (7600/(x*1.12)+6700/x+10000/x) = 150 .
    Question type: Equation
    Solution:Original question:
     (7600 ÷ ( x ×
28
25
) + 6700 ÷ x + 10000 ÷ x ) = 150
    Remove a bracket on the left of the equation::
     7600 ÷ ( x ×
28
25
) + 6700 ÷ x + 10000 ÷ x = 150
     Multiply both sides of the equation by:( x ×
28
25
)
     7600 + 6700 ÷ 1 × (1 ×
28
25
) + 10000 ÷ 1 × (1 ×
28
25
) = 150( x ×
28
25
)
    Remove a bracket on the left of the equation:
     7600 + 6700 ÷ 1 × 1 ×
28
25
+ 10000 ÷ 1 × (1 ×
28
25
) = 150( x ×
28
25
)
    Remove a bracket on the right of the equation::
     7600 + 6700 ÷ 1 × 1 ×
28
25
+ 10000 ÷ 1 × (1 ×
28
25
) = 150 x ×
28
25
    The equation is reduced to :
     7600 + 7504 + 10000(1 ×
28
25
) = 168 x
    The equation is reduced to :
     15104 + 10000(1 ×
28
25
) = 168 x
    Remove a bracket on the left of the equation:
     15104 + 10000 × 1 ×
28
25
= 168 x
    The equation is reduced to :
     15104 + 11200 = 168 x
    The equation is reduced to :
     26304 = 168 x

    Transposition :
      - 168 x = - 26304

    By shifting the terms and changing the symbols on toth sides of the equation, we obtain :
     26304 = 168 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 :
     168 x = 26304

    The coefficient of the unknown number is reduced to 1 :
      x = 26304 ÷ 168
        = 26304 ×
1
168
        = 1096 ×
1
7

    We obtained :
      x =
1096
7
    This is the solution of the equation.

    Convert the result to decimal form :
      x = 156.571429



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