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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 5.354 = (1+2.1304+x)*(1+2.2432)/1+x .
    Question type: Equation
    Solution:Original question:
     
2677
500
= (1 +
2663
1250
+ x )(1 +
1402
625
) ÷ 1 + x
    Remove the bracket on the right of the equation:
     Right side of the equation = 1(1 +
1402
625
) × 1 +
2663
1250
(1 +
1402
625
) × 1 + x (1 +
1402
625
) × 1 + x
                                               = 1(1 +
1402
625
) +
2663
1250
(1 +
1402
625
) + x (1 +
1402
625
) × 1 + x
                                               = 1 × 1 + 1 ×
1402
625
+
2663
1250
(1 +
1402
625
) + x (1 +
1402
625
) × 1 + x
                                               = 1 +
1402
625
+
2663
1250
(1 +
1402
625
) + x (1 +
1402
625
) × 1 + x
                                               =
2027
625
+
2663
1250
(1 +
1402
625
) + x (1 +
1402
625
) × 1 + x
                                               =
2027
625
+
2663
1250
× 1 +
2663
1250
×
1402
625
+ x (1 +
1402
625
) × 1 + x
                                               =
2027
625
+
2663
1250
+
1866763
390625
+ x (1 +
1402
625
) × 1 + x
                                               =
7931651
781250
+ x (1 +
1402
625
) × 1 + x
                                               =
7931651
781250
+ x × 1 × 1 + x ×
1402
625
× 1 + x
                                               =
7931651
781250
+ x × 1 + x ×
1402
625
+ x
                                               =
7931651
781250
+
2652
625
x
    The equation is transformed into :
     
2677
500
=
7931651
781250
+
2652
625
x

    Transposition :
      -
2652
625
x =
7931651
781250
2677
500

    Combine the items on the right of the equation:
      -
2652
625
x =
7497677
1562500

    By shifting the terms and changing the symbols on toth sides of the equation, we obtain :
      -
7497677
1562500
=
2652
625
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 :
     
2652
625
x = -
7497677
1562500

    The coefficient of the unknown number is reduced to 1 :
      x = -
7497677
1562500
÷
2652
625
        = -
7497677
1562500
×
625
2652
        = -
7497677
2500
×
1
2652

    We obtained :
      x = -
7497677
6630000
    This is the solution of the equation.

    Convert the result to decimal form :
      x = - 1.130871



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