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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 46/(1.44+0.25)+46/1.44+9.2/1.44+32.2/1.44+x/1.44 = 100 .
    Question type: Equation
    Solution:Original question:
     46 ÷ (
36
25
+
1
4
) + 46 ÷
36
25
+
46
5
÷
36
25
+
161
5
÷
36
25
+ x ÷
36
25
= 100
     Multiply both sides of the equation by:(
36
25
+
1
4
)
     46 + 46 ÷
36
25
× (
36
25
+
1
4
) +
46
5
÷
36
25
× (
36
25
+
1
4
) +
161
5
÷
36
25
× (
36
25
+
1
4
) + x ÷
36
25
= 100(
36
25
+
1
4
)
    Remove a bracket on the left of the equation::
     46 + 46 ÷
36
25
×
36
25
+ 46 ÷
36
25
×
1
4
+
46
5
÷
36
25
× (
36
25
+
1
4
) +
161
5
÷
36
25
= 100(
36
25
+
1
4
)
    Remove a bracket on the right of the equation::
     46 + 46 ÷
36
25
×
36
25
+ 46 ÷
36
25
×
1
4
+
46
5
÷
36
25
× (
36
25
+
1
4
) +
161
5
÷
36
25
= 100 ×
36
25
+ 100 ×
1
4
    The equation is reduced to :
     46 + 46 +
575
72
+
115
18
(
36
25
+
1
4
) +
805
36
(
36
25
+
1
4
) + x ×
25
36
(
36
25
+
1
4
) = 144 + 25
    The equation is reduced to :
     
7199
72
+
115
18
(
36
25
+
1
4
) +
805
36
(
36
25
+
1
4
) + x ×
25
36
(
36
25
+
1
4
) = 169
    Remove a bracket on the left of the equation:
     
7199
72
+
115
18
×
36
25
+
115
18
×
1
4
+
805
36
(
36
25
+
1
4
) + x ×
25
36
(
36
25
+
1
4
) = 169
    The equation is reduced to :
     
7199
72
+
46
5
+
115
72
+
805
36
(
36
25
+
1
4
) + x ×
25
36
(
36
25
+
1
4
) = 169
    The equation is reduced to :
     
6647
60
+
805
36
(
36
25
+
1
4
) + x ×
25
36
(
36
25
+
1
4
) = 169
    Remove a bracket on the left of the equation:
     
6647
60
+
805
36
×
36
25
+
805
36
×
1
4
+ x ×
25
36
(
36
25
+
1
4
) = 169
    The equation is reduced to :
     
6647
60
+
161
5
+
805
144
+ x ×
25
36
(
36
25
+
1
4
) = 169
    The equation is reduced to :
     
106973
720
+ x ×
25
36
(
36
25
+
1
4
) = 169
    Remove a bracket on the left of the equation:
     
106973
720
+ x ×
25
36
×
36
25
+ x ×
25
36
×
1
4
= 169
    The equation is reduced to :
     
106973
720
+ x × 1 + x ×
25
144
= 169
    The equation is reduced to :
     
106973
720
+
169
144
x = 169

    Transposition :
     
169
144
x = 169
106973
720

    Combine the items on the right of the equation:
     
169
144
x =
14707
720

    The coefficient of the unknown number is reduced to 1 :
      x =
14707
720
÷
169
144
        =
14707
720
×
144
169
        =
14707
5
×
1
169

    We obtained :
      x =
14707
845
    This is the solution of the equation.

    Convert the result to decimal form :
      x = 17.404734



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