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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 4.7%*(1/(1+1.25))*(1-21%)+R*(1.25/(1+1.25)) = 7.8% .
    Question type: Equation
    Solution:Original question:
     
47
1000
(1 ÷ (1 +
5
4
))(1
21
100
) + R (
5
4
÷ (1 +
5
4
)) =
39
500
    Remove a bracket on the left of the equation::
     
47
1000
× 1 ÷ (1 +
5
4
) × (1
21
100
) + R (
5
4
÷ (1 +
5
4
)) =
39
500
    The equation is reduced to :
     
47
1000
÷ (1 +
5
4
) × (1
21
100
) + R (
5
4
÷ (1 +
5
4
)) =
39
500
     Multiply both sides of the equation by:(1 +
5
4
)
     
47
1000
(1
21
100
) + R (
5
4
÷ (1 +
5
4
))(1 +
5
4
) =
39
500
(1 +
5
4
)
    Remove a bracket on the left of the equation:
     
47
1000
× 1
47
1000
×
21
100
+ R (
5
4
÷ (1 +
5
4
))(1 +
5
4
) =
39
500
(1 +
5
4
)
    Remove a bracket on the right of the equation::
     
47
1000
× 1
47
1000
×
21
100
+ R (
5
4
÷ (1 +
5
4
))(1 +
5
4
) =
39
500
× 1 +
39
500
×
5
4
    The equation is reduced to :
     
47
1000
987
100000
+ R (
5
4
÷ (1 +
5
4
))(1 +
5
4
) =
39
500
+
39
400
    The equation is reduced to :
     
3713
100000
+ R (
5
4
÷ (1 +
5
4
))(1 +
5
4
) =
351
2000
    Remove a bracket on the left of the equation:
     
3713
100000
+ R ×
5
4
÷ (1 +
5
4
) × (1 +
5
4
) =
351
2000
     Multiply both sides of the equation by:(1 +
5
4
)
     
3713
100000
(1 +
5
4
) + R ×
5
4
(1 +
5
4
) =
351
2000
(1 +
5
4
)
    Remove a bracket on the left of the equation:
     
3713
100000
× 1 +
3713
100000
×
5
4
+ R ×
5
4
(1 +
5
4
) =
351
2000
(1 +
5
4
)
    Remove a bracket on the right of the equation::
     
3713
100000
× 1 +
3713
100000
×
5
4
+ R ×
5
4
(1 +
5
4
) =
351
2000
× 1 +
351
2000
×
5
4
    The equation is reduced to :
     
3713
100000
+
3713
80000
+ R ×
5
4
(1 +
5
4
) =
351
2000
+
351
1600
    The equation is reduced to :
     
33417
400000
+ R ×
5
4
(1 +
5
4
) =
3159
8000
    Remove a bracket on the left of the equation:
     
33417
400000
+ R ×
5
4
× 1 + R ×
5
4
×
5
4
=
3159
8000
    The equation is reduced to :
     
33417
400000
+ R ×
5
4
+ R ×
25
16
=
3159
8000
    The equation is reduced to :
     
33417
400000
+
45
16
R =
3159
8000

    Transposition :
     
45
16
R =
3159
8000
33417
400000

    Combine the items on the right of the equation:
     
45
16
R =
124533
400000

    The coefficient of the unknown number is reduced to 1 :
      R =
124533
400000
÷
45
16
        =
124533
400000
×
16
45
        =
13837
25000
×
1
5

    We obtained :
      R =
13837
125000
    This is the solution of the equation.

    Convert the result to decimal form :
      R = 0.110696



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