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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 25.2×h×1.66+2×31.6×1.29 = [18.4×1.9+19.4×2.9+24×(2.6+h)+15]×0.6-2×31.6×0.78 .
    Question type: Equation
    Solution:Original question:
     
126
5
 h ×
83
50
 + 2 ×
158
5
 ×
129
100
 = (
92
5
 ×
19
10
 +
97
5
 ×
29
10
 + 24(
13
5
 + h ) + 15) ×
3
5
 − 2 ×
158
5
 ×
39
50
     Left side of the equation =
5229
125
 h +
10191
125
    The equation is transformed into :
     
5229
125
 h +
10191
125
 = (
92
5
 ×
19
10
 +
97
5
 ×
29
10
 + 24(
13
5
 + h ) + 15) ×
3
5
 − 2 ×
158
5
 ×
39
50
     Right side of the equation = (
92
5
 ×
19
10
 +
97
5
 ×
29
10
 + 24(
13
5
 + h ) + 15) ×
3
5
 −
6162
125
    The equation is transformed into :
     
5229
125
 h +
10191
125
 = (
92
5
 ×
19
10
 +
97
5
 ×
29
10
 + 24(
13
5
 + h ) + 15) ×
3
5
 −
6162
125
    Remove the bracket on the right of the equation:
     Right side of the equation =
92
5
 ×
19
10
 ×
3
5
 +
97
5
 ×
29
10
 ×
3
5
 + 24(
13
5
 + h ) ×
3
5
 + 15 ×
3
5
 −
6162
125
                                               =
2622
125
 +
8439
250
 +
72
5
(
13
5
 + h ) + 9 −
6162
125
                                               =
3609
250
 +
72
5
(
13
5
 + h )
                                               =
3609
250
 +
72
5
 ×
13
5
 +
72
5
 h
                                               =
3609
250
 +
936
25
 +
72
5
 h
                                               =
12969
250
 +
72
5
 h
    The equation is transformed into :
     
5229
125
 h +
10191
125
 =
12969
250
 +
72
5
 h

    Transposition :
     
5229
125
 h −
72
5
 h =
12969
250
 −
10191
125

    Combine the items on the left of the equation:
     
3429
125
 h =
12969
250
 −
10191
125

    Combine the items on the right of the equation:
     
3429
125
 h = -
7413
250

    The coefficient of the unknown number is reduced to 1 :
      h = -
7413
250
 ÷
3429
125
        = -
7413
250
 ×
125
3429
        = -
2471
2
 ×
1
1143

    We obtained :
      h = -
2471
2286
    This is the solution of the equation.

    Convert the result to decimal form :
      h = - 1.080927



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