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    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 (365q-((1500+0.15*365q)*0.4529+611.8275+330.75)+300)*0.75+611.8275 = 661.5 .
    Question type: Equation
    Solution:Original question:
     (365 q ((1500 +
3
20
× 365 q ) ×
4529
10000
+
244731
400
+
1323
4
) + 300) ×
3
4
+
244731
400
=
1323
2
    Remove the bracket on the left of the equation:
     Left side of the equation = 365 q ×
3
4
((1500 +
3
20
× 365 q ) ×
4529
10000
+
244731
400
+
1323
4
) ×
3
4
+ 300 ×
3
4
+
244731
400
                                             =
1095
4
q ((1500 +
3
20
× 365 q ) ×
4529
10000
+
244731
400
+
1323
4
) ×
3
4
+ 225 +
244731
400
                                             =
1095
4
q ((1500 +
3
20
× 365 q ) ×
4529
10000
+
244731
400
+
1323
4
) ×
3
4
+
334731
400
                                             =
1095
4
q (1500 +
3
20
× 365 q ) ×
4529
10000
×
3
4
244731
400
×
3
4
1323
4
×
3
4
+
334731
400
                                             =
1095
4
q (1500 +
3
20
× 365 q ) ×
13587
40000
734193
1600
3969
16
+
334731
400
                                             =
1095
4
q (1500 +
3
20
× 365 q ) ×
13587
40000
+
207831
1600
                                             =
1095
4
q 1500 ×
13587
40000
3
20
× 365 q ×
13587
40000
+
207831
1600
                                             =
1095
4
q
40761
80
2975553
160000
q +
207831
1600
                                             =
40824447
160000
q
607389
1600
    The equation is transformed into :
     
40824447
160000
q
607389
1600
=
1323
2

    Transposition :
     
40824447
160000
q =
1323
2
+
607389
1600

    Combine the items on the right of the equation:
     
40824447
160000
q =
1665789
1600

    The coefficient of the unknown number is reduced to 1 :
      q =
1665789
1600
÷
40824447
160000
        =
1665789
1600
×
160000
40824447
        = 555263 ×
100
13608149

    We obtained :
      q =
55526300
13608149
    This is the solution of the equation.

    Convert the result to decimal form :
      q = 4.080371



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