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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 0.292 = (50.24-156.19+x+((50.24-156.19+x)/(14+134))*(-254)+25.77)/(14+134-254+74) .
    Question type: Equation
    Solution:Original question:
     
73
250
= (
1256
25
15619
100
+ x + ((
1256
25
15619
100
+ x ) ÷ (14 + 134))( - 254) +
2577
100
) ÷ (14 + 134254 + 74)
     Multiply both sides of the equation by:(14 + 134254 + 74)
     
73
250
(14 + 134254 + 74) = (
1256
25
15619
100
+ x + ((
1256
25
15619
100
+ x ) ÷ (14 + 134))( - 254) +
2577
100
)
    Remove a bracket on the left of the equation::
     
73
250
× 14 +
73
250
× 134
73
250
× 254 +
73
250
× 74 = (
1256
25
15619
100
+ x + ((
1256
25
15619
100
+ x ) ÷ (14 + 134))( - 254) +
2577
100
)
    Remove a bracket on the right of the equation::
     
73
250
× 14 +
73
250
× 134
73
250
× 254 +
73
250
× 74 =
1256
25
15619
100
+ x + ((
1256
25
15619
100
+ x ) ÷ (14 + 134))( - 254) +
2577
100
    The equation is reduced to :
     
511
125
+
4891
125
9271
125
+
2701
125
=
1256
25
15619
100
+ x + ((
1256
25
15619
100
+ x ) ÷ (14 + 134))( - 254) +
2577
100
    The equation is reduced to :
      -
1168
125
= -
4009
50
+ x + ((
1256
25
15619
100
+ x ) ÷ (14 + 134))( - 254)
    Remove a bracket on the right of the equation::
      -
1168
125
= -
4009
50
+ x + (
1256
25
15619
100
+ x ) ÷ (14 + 134) × ( - 254)
     Multiply both sides of the equation by:(14 + 134)
      -
1168
125
(14 + 134) = -
4009
50
(14 + 134) + x (14 + 134) + (
1256
25
15619
100
+ x )( - 254)
    Remove a bracket on the left of the equation:
      -
1168
125
× 14
1168
125
× 134 = -
4009
50
(14 + 134) + x (14 + 134) + (
1256
25
15619
100
+ x )( - 254)
    Remove a bracket on the right of the equation::
      -
1168
125
× 14
1168
125
× 134 = -
4009
50
× 14
4009
50
× 134 + x (14 + 134) + (
1256
25
15619
100
+ x )( - 254)
    The equation is reduced to :
      -
16352
125
156512
125
= -
28063
25
268603
25
+ x (14 + 134) + (
1256
25
15619
100
+ x )( - 254)
    The equation is reduced to :
      -
172864
125
= -
296666
25
+ x (14 + 134) + (
1256
25
15619
100
+ x )( - 254)
    Remove a bracket on the right of the equation::
      -
172864
125
= -
296666
25
+ x × 14 + x × 134 + (
1256
25
15619
100
+ x )( - 254)
    The equation is reduced to :
      -
172864
125
= -
296666
25
+ 148 x + (
1256
25
15619
100
+ x )( - 254)
    Remove a bracket on the right of the equation::
      -
172864
125
= -
296666
25
+ 148 x +
1256
25
( - 254)
15619
100
( - 254) + x ( - 254)
    Remove a bracket on the right of the equation::
      -
172864
125
= -
296666
25
+ 148 x
1256
25
× 254
15619
100
( - 254) + x ( - 254)
    The equation is reduced to :
      -
172864
125
= -
296666
25
+ 148 x
319024
25
15619
100
( - 254) + x ( - 254)
    The equation is reduced to :
      -
172864
125
= -
123138
5
+ 148 x
15619
100
( - 254) + x ( - 254)
    Remove a bracket on the right of the equation::
      -
172864
125
= -
123138
5
+ 148 x +
15619
100
× 254 + x ( - 254)
    The equation is reduced to :
      -
172864
125
= -
123138
5
+ 148 x +
1983613
50
+ x ( - 254)
    The equation is reduced to :
      -
172864
125
=
752233
50
+ 148 x + x ( - 254)
    Remove a bracket on the right of the equation::
      -
172864
125
=
752233
50
+ 148 x x × 254
    The equation is reduced to :
      -
172864
125
=
752233
50
106 x

    Transposition :
     106 x =
752233
50
+
172864
125

    Combine the items on the right of the equation:
     106 x =
4106893
250

    The coefficient of the unknown number is reduced to 1 :
      x =
4106893
250
÷ 106
        =
4106893
250
×
1
106

    We obtained :
      x =
4106893
26500
    This is the solution of the equation.

    Convert the result to decimal form :
      x = 154.977094



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