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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 1.5*(1222/1225)+(3/1225)*((0.13336)*2x-x) = 0 .
    Question type: Equation
    Solution:Original question:
     
3
2
(1222 ÷ 1225) + (3 ÷ 1225)((
1667
12500
) × 2 x x ) = 0
    Remove the bracket on the left of the equation:
     Left side of the equation =
3
2
× 1222 ÷ 1225 + (3 ÷ 1225)((
1667
12500
) × 2 x x )
                                             =
1833
1225
+ (3 ÷ 1225)((
1667
12500
) × 2 x x )
                                             =
1833
1225
+ 3 ÷ 1225 × ((
1667
12500
) × 2 x x )
                                             =
1833
1225
+
3
1225
((
1667
12500
) × 2 x x )
                                             =
1833
1225
+
3
1225
(
1667
12500
) × 2 x
3
1225
x
                                             =
1833
1225
+
6
1225
(
1667
12500
) x
3
1225
x
                                             =
1833
1225
+
6
1225
×
1667
12500
x
3
1225
x
                                             =
1833
1225
+
5001
7656250
x
3
1225
x
                                             =
1833
1225
13749
7656250
x
    The equation is transformed into :
     
1833
1225
13749
7656250
x = 0

    Transposition :
      -
13749
7656250
x = 0
1833
1225

    Combine the items on the right of the equation:
      -
13749
7656250
x = -
1833
1225

    By shifting the terms and changing the symbols on toth sides of the equation, we obtain :
     
1833
1225
=
13749
7656250
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 :
     
13749
7656250
x =
1833
1225

    The coefficient of the unknown number is reduced to 1 :
      x =
1833
1225
÷
13749
7656250
        =
1833
1225
×
7656250
13749
        = 611 ×
6250
4583

    We obtained :
      x =
3818750
4583
    This is the solution of the equation.

    Convert the result to decimal form :
      x = 833.242418



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