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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 (123.55+26.5*a)/56*0.3+(504.1+26.5*a+4*4)/(115+4+26.5)*0.7 = 4.5 .
    Question type: Equation
    Solution:Original question:
     (
2471
20
 +
53
2
 a ) ÷ 56 ×
3
10
 + (
5041
10
 +
53
2
 a + 4 × 4) ÷ (115 + 4 +
53
2
) ×
7
10
 =
9
2
     Multiply both sides of the equation by:(115 + 4 +
53
2
)
     (
2471
20
 +
53
2
 a ) ÷ 56 ×
3
10
(115 + 4 +
53
2
) + (
5041
10
 +
53
2
 a + 4 × 4) ×
7
10
 =
9
2
(115 + 4 +
53
2
)
    Remove a bracket on the left of the equation:：
     
2471
20
 ÷ 56 ×
3
10
(115 + 4 +
53
2
) +
53
2
 a ÷ 56 ×
3
10
(115 + 4 +
53
2
) + (
5041
10
 +
53
2
 a + 4 × 4) ×
7
10
 =
9
2
(115 + 4 +
53
2
)
    Remove a bracket on the right of the equation:：
     
2471
20
 ÷ 56 ×
3
10
(115 + 4 +
53
2
) +
53
2
 a ÷ 56 ×
3
10
(115 + 4 +
53
2
) + (
5041
10
 +
53
2
 a + 4 × 4) ×
7
10
 =
9
2
 × 115 +
9
2
 × 4 +
9
2
 ×
53
2
    The equation is reduced to :
     
1059
1600
(115 + 4 +
53
2
) +
159
1120
 a (115 + 4 +
53
2
) + (
5041
10
 +
53
2
 a + 4 × 4) ×
7
10
 =
1035
2
 + 18 +
477
4
    The equation is reduced to :
     
1059
1600
(115 + 4 +
53
2
) +
159
1120
 a (115 + 4 +
53
2
) + (
5041
10
 +
53
2
 a + 4 × 4) ×
7
10
 =
2619
4
    Remove a bracket on the left of the equation:
     
1059
1600
 × 115 +
1059
1600
 × 4 +
1059
1600
 ×
53
2
 +
159
1120
 a (115 + 4 +
53
2
) + (
5041
10
 +
53
2
 a + 4 × 4) ×
7
10
 =
2619
4
    The equation is reduced to :
     
24357
320
 +
1059
400
 +
56127
3200
 +
159
1120
 a (115 + 4 +
53
2
) + (
5041
10
 +
53
2
 a + 4 × 4) ×
7
10
 =
2619
4
    The equation is reduced to :
     
308169
3200
 +
159
1120
 a (115 + 4 +
53
2
) + (
5041
10
 +
53
2
 a + 4 × 4) ×
7
10
 =
2619
4
    Remove a bracket on the left of the equation:
     
308169
3200
 +
159
1120
 a × 115 +
159
1120
 a × 4 +
159
1120
 a ×
53
2
 + (
5041
10
 +
53
2
 a + 4 × 4) ×
7
10
 =
2619
4
    The equation is reduced to :
     
308169
3200
 +
3657
224
 a +
159
280
 a +
8427
2240
 a + (
5041
10
 +
53
2
 a + 4 × 4) ×
7
10
 =
2619
4
    The equation is reduced to :
     
308169
3200
 +
46269
2240
 a + (
5041
10
 +
53
2
 a + 4 × 4) ×
7
10
 =
2619
4
    Remove a bracket on the left of the equation:
     
308169
3200
 +
46269
2240
 a +
5041
10
 ×
7
10
 +
53
2
 a ×
7
10
 + 4 × 4 ×
7
10
 =
2619
4
    The equation is reduced to :
     
308169
3200
 +
46269
2240
 a +
35287
100
 +
371
20
 a +
56
5
 =
2619
4
    The equation is reduced to :
     
1473193
3200
 +
87821
2240
 a =
2619
4

    Transposition :
     
87821
2240
 a =
2619
4
 −
1473193
3200

    Combine the items on the right of the equation:
     
87821
2240
 a =
622007
3200

    The coefficient of the unknown number is reduced to 1 :
      a =
622007
3200
 ÷
87821
2240
        =
622007
3200
 ×
2240
87821
        =
622007
10
 ×
7
87821

    We obtained :
      a =
4354049
878210
    This is the solution of the equation.

    Convert the result to decimal form :
      a = 4.957868



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