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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 x*12*1.6+(5*x/(x+1200)-5*(x-100)/(x+1100)*11) = 5770.035 .
    Question type: Equation
    Solution:Original question:
      x × 12 ×
8
5
+ (5 x ÷ ( x + 1200)5( x 100) ÷ ( x + 1100) × 11) =
1154007
200
    Remove a bracket on the left of the equation::
      x × 12 ×
8
5
+ 5 x ÷ ( x + 1200)5( x 100) ÷ ( x + 1100) × 11 =
1154007
200
    The equation is reduced to :
      x ×
96
5
+ 5 x ÷ ( x + 1200)55( x 100) ÷ ( x + 1100) =
1154007
200
     Multiply both sides of the equation by:( x + 1200)
     
96
5
x ( x + 1200) + 5 x 55( x 100) ÷ ( x + 1100) × ( x + 1200) =
1154007
200
( x + 1200)
    Remove a bracket on the left of the equation:
     
96
5
x x +
96
5
x × 1200 + 5 x 55( x 100) ÷ ( x + 1100) × ( x + 1200) =
1154007
200
( x + 1200)
    Remove a bracket on the right of the equation::
     
96
5
x x +
96
5
x × 1200 + 5 x 55( x 100) ÷ ( x + 1100) × ( x + 1200) =
1154007
200
x +
1154007
200
× 1200
    The equation is reduced to :
     
96
5
x x + 23040 x + 5 x 55( x 100) ÷ ( x + 1100) × ( x + 1200) =
1154007
200
x + 6924042
    The equation is reduced to :
     
96
5
x x + 23045 x 55( x 100) ÷ ( x + 1100) × ( x + 1200) =
1154007
200
x + 6924042
     Multiply both sides of the equation by:( x + 1100)
     
96
5
x x ( x + 1100) + 23045 x ( x + 1100)55( x 100)( x + 1200) =
1154007
200
x ( x + 1100) + 6924042( x + 1100)
    Remove a bracket on the left of the equation:
     
96
5
x x x +
96
5
x x × 1100 + 23045 x ( x + 1100)55 =
1154007
200
x ( x + 1100) + 6924042( x + 1100)
    Remove a bracket on the right of the equation::
     
96
5
x x x +
96
5
x x × 1100 + 23045 x ( x + 1100)55 =
1154007
200
x x +
1154007
200
x × 1100 + 6924042( x + 1100)
    The equation is reduced to :
     
96
5
x x x + 21120 x x + 23045 x ( x + 1100)55( x 100) =
1154007
200
x x +
12694077
2
x + 6924042( x + 1100)
    Remove a bracket on the left of the equation:
     
96
5
x x x + 21120 x x + 23045 x x + 23045 x =
1154007
200
x x +
12694077
2
x + 6924042( x + 1100)
    Remove a bracket on the right of the equation::
     
96
5
x x x + 21120 x x + 23045 x x + 23045 x =
1154007
200
x x +
12694077
2
x + 6924042 x + 6924042 × 1100
    The equation is reduced to :
     
96
5
x x x + 21120 x x + 23045 x x + 25349500 x =
1154007
200
x x +
12694077
2
x + 6924042 x + 7616446200
    The equation is reduced to :
     
96
5
x x x + 21120 x x + 23045 x x + 25349500 x =
1154007
200
x x +
26542161
2
x + 7616446200
    Remove a bracket on the left of the equation:
     
96
5
x x x + 21120 x x + 23045 x x + 25349500 x =
1154007
200
x x +
26542161
2
x + 7616446200
    The equation is reduced to :
     
96
5
x x x + 21120 x x + 23045 x x + 25349500 x =
1154007
200
x x +
26542161
2
x + 7616446200
    Remove a bracket on the left of the equation:
     
96
5
x x x + 21120 x x + 23045 x x + 25349500 x =
1154007
200
x x +
26542161
2
x + 7616446200
    The equation is reduced to :
     
96
5
x x x + 21120 x x + 23045 x x + 25349500 x =
1154007
200
x x +
26542161
2
x + 7616446200
    The equation is reduced to :
     
96
5
x x x + 21120 x x + 23045 x x + 25283500 x =
1154007
200
x x +
26542161
2
x + 7616446200
    Remove a bracket on the left of the equation:
     
96
5
x x x + 21120 x x + 23045 x x + 25283500 x =
1154007
200
x x +
26542161
2
x + 7616446200
    The equation is reduced to :
     
96
5
x x x + 21120 x x + 23045 x x + 25283500 x =
1154007
200
x x +
26542161
2
x + 7616446200
    The equation is reduced to :
     
96
5
x x x + 21120 x x + 23045 x x + 25289000 x =
1154007
200
x x +
26542161
2
x + 7616446200
    The equation can be reduced to :
     
96
5
x x x + 21120 x x + 23045 x x + 25289000 x =
1154007
200
x x +
26542161
2
x + 7616446200

    the solutions is:
        x≈300.881221 , keep 6 decimal places
    
    There are 1 solution(s).


解方程的详细方法请参阅:《方程的解法》



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