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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 0.84×（0.2×1.8）*（1/3）/R+2.7×（0.2×1.8）*（2/3）/R*2+7.0×0.2×1.8/R = 0.2 .
    Question type: Equation
    Solution:Original question:
     
21
25
(
1
5
 ×
9
5
)(1 ÷ 3) ÷ R +
27
10
(
1
5
 ×
9
5
)(2 ÷ 3) ÷ R × 2 + 7 ×
1
5
 ×
9
5
 =
1
5
     Multiply both sides of the equation by: R
     
21
25
(
1
5
 ×
9
5
)(1 ÷ 3) +
27
10
(
1
5
 ×
9
5
)(2 ÷ 3) ÷ 1 × 2 × 1 + 7 ×
1
5
 ×
9
5
 =
1
5
 R
    Remove a bracket on the left of the equation:：
     
21
25
 ×
1
5
 ×
9
5
(1 ÷ 3) +
27
10
(
1
5
 ×
9
5
)(2 ÷ 3) ÷ 1 × 2 × 1 + 7 ×
1
5
 =
1
5
 R
    The equation is reduced to :
     
189
625
(1 ÷ 3) +
27
5
(
1
5
 ×
9
5
)(2 ÷ 3) +
63
25
 =
1
5
 R
    Remove a bracket on the left of the equation:
     
189
625
 × 1 ÷ 3 +
27
5
(
1
5
 ×
9
5
)(2 ÷ 3) +
63
25
 =
1
5
 R
    The equation is reduced to :
     
63
625
 +
27
5
(
1
5
 ×
9
5
)(2 ÷ 3) +
63
25
 =
1
5
 R
    The equation is reduced to :
     
1638
625
 +
27
5
(
1
5
 ×
9
5
)(2 ÷ 3) =
1
5
 R
    Remove a bracket on the left of the equation:
     
1638
625
 +
27
5
 ×
1
5
 ×
9
5
(2 ÷ 3) =
1
5
 R
    The equation is reduced to :
     
1638
625
 +
243
125
(2 ÷ 3) =
1
5
 R
    Remove a bracket on the left of the equation:
     
1638
625
 +
243
125
 × 2 ÷ 3 =
1
5
 R
    The equation is reduced to :
     
1638
625
 +
162
125
 =
1
5
 R
    The equation is reduced to :
     
2448
625
 =
1
5
 R

    Transposition :
      -
1
5
 R = -
2448
625

    By shifting the terms and changing the symbols on toth sides of the equation, we obtain :
     
2448
625
 =
1
5
 R

    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 :
     
1
5
 R =
2448
625

    The coefficient of the unknown number is reduced to 1 :
      R =
2448
625
 ÷
1
5
        =
2448
625
 × 5
        =
2448
125
 × 1

    We obtained :
      R =
2448
125
    This is the solution of the equation.

    Convert the result to decimal form :
      R = 19.584



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