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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 (118.3+26.5*a)/53.5*0.3+(498.85+4*4.8+26.5*a)/(116.5+26.5)*0.7 = 4.5 .
    Question type: Equation
    Solution:Original question:
     (
1183
10
 +
53
2
 a ) ÷
107
2
 ×
3
10
 + (
9977
20
 + 4 ×
24
5
 +
53
2
 a ) ÷ (
233
2
 +
53
2
) ×
7
10
 =
9
2
     Multiply both sides of the equation by:(
233
2
 +
53
2
)
     (
1183
10
 +
53
2
 a ) ÷
107
2
 ×
3
10
(
233
2
 +
53
2
) + (
9977
20
 + 4 ×
24
5
 +
53
2
 a ) ×
7
10
 =
9
2
(
233
2
 +
53
2
)
    Remove a bracket on the left of the equation:：
     
1183
10
 ÷
107
2
 ×
3
10
(
233
2
 +
53
2
) +
53
2
 a ÷
107
2
 ×
3
10
(
233
2
 +
53
2
) + (
9977
20
 + 4 ×
24
5
 +
53
2
 a ) ×
7
10
 =
9
2
(
233
2
 +
53
2
)
    Remove a bracket on the right of the equation:：
     
1183
10
 ÷
107
2
 ×
3
10
(
233
2
 +
53
2
) +
53
2
 a ÷
107
2
 ×
3
10
(
233
2
 +
53
2
) + (
9977
20
 + 4 ×
24
5
 +
53
2
 a ) ×
7
10
 =
9
2
 ×
233
2
 +
9
2
 ×
53
2
    The equation is reduced to :
     
3549
5350
(
233
2
 +
53
2
) +
159
1070
 a (
233
2
 +
53
2
) + (
9977
20
 + 4 ×
24
5
 +
53
2
 a ) ×
7
10
 =
2097
4
 +
477
4
    The equation is reduced to :
     
3549
5350
(
233
2
 +
53
2
) +
159
1070
 a (
233
2
 +
53
2
) + (
9977
20
 + 4 ×
24
5
 +
53
2
 a ) ×
7
10
 =
1287
2
    Remove a bracket on the left of the equation:
     
3549
5350
 ×
233
2
 +
3549
5350
 ×
53
2
 +
159
1070
 a (
233
2
 +
53
2
) + (
9977
20
 + 4 ×
24
5
 +
53
2
 a ) ×
7
10
 =
1287
2
    The equation is reduced to :
     
826917
10700
 +
188097
10700
 +
159
1070
 a (
233
2
 +
53
2
) + (
9977
20
 + 4 ×
24
5
 +
53
2
 a ) ×
7
10
 =
1287
2
    The equation is reduced to :
     
507507
5350
 +
159
1070
 a (
233
2
 +
53
2
) + (
9977
20
 + 4 ×
24
5
 +
53
2
 a ) ×
7
10
 =
1287
2
    Remove a bracket on the left of the equation:
     
507507
5350
 +
159
1070
 a ×
233
2
 +
159
1070
 a ×
53
2
 + (
9977
20
 + 4 ×
24
5
 +
53
2
 a ) ×
7
10
 =
1287
2
    The equation is reduced to :
     
507507
5350
 +
37047
2140
 a +
8427
2140
 a + (
9977
20
 + 4 ×
24
5
 +
53
2
 a ) ×
7
10
 =
1287
2
    The equation is reduced to :
     
507507
5350
 +
22737
1070
 a + (
9977
20
 + 4 ×
24
5
 +
53
2
 a ) ×
7
10
 =
1287
2
    Remove a bracket on the left of the equation:
     
507507
5350
 +
22737
1070
 a +
9977
20
 ×
7
10
 + 4 ×
24
5
 ×
7
10
 +
53
2
 a ×
7
10
 =
1287
2
    The equation is reduced to :
     
507507
5350
 +
22737
1070
 a +
69839
200
 +
336
25
 +
371
20
 a =
1287
2
    The equation is reduced to :
     
9790417
21400
 +
85171
2140
 a =
1287
2

    Transposition :
     
85171
2140
 a =
1287
2
 −
9790417
21400

    Combine the items on the right of the equation:
     
85171
2140
 a =
3980483
21400

    The coefficient of the unknown number is reduced to 1 :
      a =
3980483
21400
 ÷
85171
2140
        =
3980483
21400
 ×
2140
85171
        =
3980483
1070
 ×
107
85171

    We obtained :
      a =
425911681
91132970
    This is the solution of the equation.

    By reducing fraction, we can get:
      a =
3980483
851710

    Convert the result to decimal form :
      a = 4.673519



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