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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 [1.2×(15+5+0.15)+1.4×(3.0+2.0+2.0)]×1.2×0.6 = 24.47kN .
    Question type: Equation
    Solution:Original question:
     (
6
5
(15 + 5 +
3
20
) +
7
5
(3 + 2 + 2)) ×
6
5
 ×
3
5
 =
2447
100
 k
     Left side of the equation = (
6
5
(15 + 5 +
3
20
) +
7
5
(3 + 2 + 2)) ×
18
25
    The equation is transformed into :
     (
6
5
(15 + 5 +
3
20
) +
7
5
(3 + 2 + 2)) ×
18
25
 =
2447
100
 k
    Remove the bracket on the left of the equation:
     Left side of the equation =
6
5
(15 + 5 +
3
20
) ×
18
25
 +
7
5
(3 + 2 + 2) ×
18
25
                                             =
108
125
(15 + 5 +
3
20
) +
126
125
(3 + 2 + 2)
                                             =
108
125
 × 15 +
108
125
 × 5 +
108
125
 ×
3
20
 +
126
125
(3 + 2 + 2)
                                             =
324
25
 +
108
25
 +
81
625
 +
126
125
(3 + 2 + 2)
                                             =
10881
625
 +
126
125
(3 + 2 + 2)
                                             =
10881
625
 +
126
125
 × 3 +
126
125
 × 2 +
126
125
 × 2
                                             =
10881
625
 +
378
125
 +
252
125
 +
252
125
                                             =
15291
625
    The equation is transformed into :
     
15291
625
 =
2447
100
 k

    Transposition :
      -
2447
100
 k = -
15291
625

    By shifting the terms and changing the symbols on toth sides of the equation, we obtain :
     
15291
625
 =
2447
100
 k

    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 :
     
2447
100
 k =
15291
625

    The coefficient of the unknown number is reduced to 1 :
      k =
15291
625
 ÷
2447
100
        =
15291
625
 ×
100
2447
        =
15291
25
 ×
4
2447

    We obtained :
      k =
61164
61175
    This is the solution of the equation.

    Convert the result to decimal form :
      k = 0.99982



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