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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 46/(0.38+1.25)+46/(1+0.38)*2 = x .
    Question type: Equation
    Solution:Original question:
     46 ÷ (
19
50
 +
5
4
) + 46 ÷ (1 +
19
50
) × 2 = x
     Multiply both sides of the equation by:(
19
50
 +
5
4
)
     46 + 46 ÷ (1 +
19
50
) × 2(
19
50
 +
5
4
) = x (
19
50
 +
5
4
)
    Remove a bracket on the left of the equation:：
     46 + 46 ÷ (1 +
19
50
) × 2 ×
19
50
 + 46 ÷ (1 +
19
50
) × 2 ×
5
4
 = x (
19
50
 +
5
4
)
    Remove a bracket on the right of the equation:：
     46 + 46 ÷ (1 +
19
50
) × 2 ×
19
50
 + 46 ÷ (1 +
19
50
) × 2 ×
5
4
 = x ×
19
50
 + x ×
5
4
    The equation is reduced to :
     46 +
874
25
 ÷ (1 +
19
50
) + 115 ÷ (1 +
19
50
) = x ×
19
50
 + x ×
5
4
    The equation is reduced to :
     46 +
874
25
 ÷ (1 +
19
50
) + 115 ÷ (1 +
19
50
) =
163
100
 x
     Multiply both sides of the equation by:(1 +
19
50
)
     46(1 +
19
50
) +
874
25
 + 115 ÷ (1 +
19
50
) × (1 +
19
50
) =
163
100
 x (1 +
19
50
)
    Remove a bracket on the left of the equation:
     46 × 1 + 46 ×
19
50
 +
874
25
 + 115 ÷ (1 +
19
50
) × (1 +
19
50
) =
163
100
 x (1 +
19
50
)
    Remove a bracket on the right of the equation:：
     46 × 1 + 46 ×
19
50
 +
874
25
 + 115 ÷ (1 +
19
50
) × (1 +
19
50
) =
163
100
 x × 1 +
163
100
 x ×
19
50
    The equation is reduced to :
     46 +
437
25
 +
874
25
 + 115 ÷ (1 +
19
50
) × (1 +
19
50
) =
163
100
 x +
3097
5000
 x
    The equation is reduced to :
     
2461
25
 + 115 ÷ (1 +
19
50
) × (1 +
19
50
) =
11247
5000
 x
     Multiply both sides of the equation by:(1 +
19
50
)
     
2461
25
(1 +
19
50
) + 115(1 +
19
50
) =
11247
5000
 x (1 +
19
50
)
    Remove a bracket on the left of the equation:
     
2461
25
 × 1 +
2461
25
 ×
19
50
 + 115(1 +
19
50
) =
11247
5000
 x (1 +
19
50
)
    Remove a bracket on the right of the equation:：
     
2461
25
 × 1 +
2461
25
 ×
19
50
 + 115(1 +
19
50
) =
11247
5000
 x × 1 +
11247
5000
 x ×
19
50
    The equation is reduced to :
     
2461
25
 +
46759
1250
 + 115(1 +
19
50
) =
11247
5000
 x +
213693
250000
 x
    The equation is reduced to :
     
169809
1250
 + 115(1 +
19
50
) =
776043
250000
 x
    Remove a bracket on the left of the equation:
     
169809
1250
 + 115 × 1 + 115 ×
19
50
 =
776043
250000
 x
    The equation is reduced to :
     
169809
1250
 + 115 +
437
10
 =
776043
250000
 x
    The equation is reduced to :
     
184092
625
 =
776043
250000
 x

    Transposition :
      -
776043
250000
 x = -
184092
625

    By shifting the terms and changing the symbols on toth sides of the equation, we obtain :
     
184092
625
 =
776043
250000
 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 :
     
776043
250000
 x =
184092
625

    The coefficient of the unknown number is reduced to 1 :
      x =
184092
625
 ÷
776043
250000
        =
184092
625
 ×
250000
776043
        = 116 ×
400
489

    We obtained :
      x =
46400
489
    This is the solution of the equation.

    Convert the result to decimal form :
      x = 94.887526



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