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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 0.5*4.71*（35*5+65*（14-5））+0.7*0.8*1.77*（330+2.5*（8.5*5+9.5*（14-5））/h*（14-3）） = 0.5*4129.833+11.486*5+9.719*（14-5） .
    Question type: Equation
    Solution:Original question:
     
1
2
 ×
471
100
(35 × 5 + 65(14 − 5)) +
7
10
 ×
4
5
 ×
177
100
(330 +
5
2
(
17
2
 × 5 +
19
2
(14 − 5)) ÷ h × (14 − 3)) =
1
2
 ×
4129833
1000
 +
5743
500
 × 5 +
9719
1000
(14 − 5)
    Remove a bracket on the left of the equation:：
     
1
2
 ×
471
100
 × 35 × 5 +
1
2
 ×
471
100
 × 65(14 − 5) +
7
10
 ×
4
5
 ×
177
100
(330 +
5
2
(
17
2
 × 5 +
19
2
(14 − 5)) ÷ h × (14 − 3)) =
1
2
 ×
4129833
1000
 +
5743
500
 × 5 +
9719
1000
(14 − 5)
    Remove a bracket on the right of the equation:：
     
1
2
 ×
471
100
 × 35 × 5 +
1
2
 ×
471
100
 × 65(14 − 5) +
7
10
 ×
4
5
 ×
177
100
(330 +
5
2
(
17
2
 × 5 +
19
2
(14 − 5)) ÷ h × (14 − 3)) =
1
2
 ×
4129833
1000
 +
5743
500
 × 5 +
9719
1000
 × 14 −
9719
1000
 × 5
    The equation is reduced to :
     
3297
8
 +
6123
40
(14 − 5) +
1239
1250
(330 +
5
2
(
17
2
 × 5 +
19
2
(14 − 5)) ÷ h × (14 − 3)) =
4129833
2000
 +
5743
100
 +
68033
500
 −
9719
200
    The equation is reduced to :
     
3297
8
 +
6123
40
(14 − 5) +
1239
1250
(330 +
5
2
(
17
2
 × 5 +
19
2
(14 − 5)) ÷ h × (14 − 3)) =
883927
400
    Remove a bracket on the left of the equation:
     
3297
8
 +
6123
40
 × 14 −
6123
40
 × 5 +
1239
1250
(330 +
5
2
(
17
2
 × 5 +
19
2
(14 − 5)) ÷ h × (14 − 3)) =
883927
400
    The equation is reduced to :
     
3297
8
 +
42861
20
 −
6123
8
 +
1239
1250
(330 +
5
2
(
17
2
 × 5 +
19
2
(14 − 5)) ÷ h × (14 − 3)) =
883927
400
    The equation is reduced to :
     
8949
5
 +
1239
1250
(330 +
5
2
(
17
2
 × 5 +
19
2
(14 − 5)) ÷ h × (14 − 3)) =
883927
400
    Remove a bracket on the left of the equation:
     
8949
5
 +
1239
1250
 × 330 +
1239
1250
 ×
5
2
(
17
2
 × 5 +
19
2
(14 − 5)) ÷ h × (14 − 3) =
883927
400
    The equation is reduced to :
     
8949
5
 +
40887
125
 +
1239
500
(
17
2
 × 5 +
19
2
(14 − 5)) ÷ h × (14 − 3) =
883927
400
    The equation is reduced to :
     
264612
125
 +
1239
500
(
17
2
 × 5 +
19
2
(14 − 5)) ÷ h × (14 − 3) =
883927
400
     Multiply both sides of the equation by: h
     
264612
125
 h +
1239
500
(
17
2
 × 5 +
19
2
(14 − 5))(14 − 3) =
883927
400
 h
    Remove a bracket on the left of the equation:
     
264612
125
 h +
1239
500
 ×
17
2
 × 5(14 − 3) +
1239
500
 ×
19
2
(14 − 5)(14 − 3) =
883927
400
 h
    The equation is reduced to :
     
264612
125
 h +
21063
200
(14 − 3) +
23541
1000
(14 − 5)(14 − 3) =
883927
400
 h
    Remove a bracket on the left of the equation:
     
264612
125
 h +
21063
200
 × 14 −
21063
200
 × 3 +
23541
1000
(14 − 5)(14 − 3) =
883927
400
 h
    The equation is reduced to :
     
264612
125
 h +
147441
100
 −
63189
200
 +
23541
1000
(14 − 5)(14 − 3) =
883927
400
 h
    The equation is reduced to :
     
264612
125
 h +
231693
200
 +
23541
1000
(14 − 5)(14 − 3) =
883927
400
 h
    Remove a bracket on the left of the equation:
     
264612
125
 h +
231693
200
 +
23541
1000
 × 14(14 − 3) −
23541
1000
 × 5(14 − 3) =
883927
400
 h
    The equation is reduced to :
     
264612
125
 h +
231693
200
 +
164787
500
(14 − 3) −
23541
200
(14 − 3) =
883927
400
 h
    Remove a bracket on the left of the equation:
     
264612
125
 h +
231693
200
 +
164787
500
 × 14 −
164787
500
 × 3 −
23541
200
(14 − 3) =
883927
400
 h
    The equation is reduced to :
     
264612
125
 h +
231693
200
 +
1153509
250
 −
494361
500
 −
23541
200
(14 − 3) =
883927
400
 h
    The equation is reduced to :
     
264612
125
 h +
4783779
1000
 −
23541
200
(14 − 3) =
883927
400
 h
    Remove a bracket on the left of the equation:
     
264612
125
 h +
4783779
1000
 −
23541
200
 × 14 +
23541
200
 × 3 =
883927
400
 h
    The equation is reduced to :
     
264612
125
 h +
4783779
1000
 −
164787
100
 +
70623
200
 =
883927
400
 h
    The equation is reduced to :
     
264612
125
 h +
436128
125
 =
883927
400
 h
    The equation can be reduced to :
     
264612
125
 h +
436128
125
 =
883927
400
 h

    Transposition :
     
264612
125
 h −
883927
400
 h = -
436128
125

    Combine the items on the left of the equation:
      -
185843
2000
 h = -
436128
125

    By shifting the terms and changing the symbols on toth sides of the equation, we obtain :
     
436128
125
 =
185843
2000
 h

    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 :
     
185843
2000
 h =
436128
125

    The coefficient of the unknown number is reduced to 1 :
      h =
436128
125
 ÷
185843
2000
        =
436128
125
 ×
2000
185843
        = 62304 ×
16
26549

    We obtained :
      h =
996864
26549
    This is the solution of the equation.

    Convert the result to decimal form :
      h = 37.548081



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