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On line Solution of Monovariate Equation：
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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 ((100%*(3-1)+X)/3-X)/(100%*(3-1)+X)/3*0.25 = (X-(85%*(3-1)+X)/3)/(85%*(3-1)+X)/3*0.5 .
    Question type: Equation
    Solution:Original question:
     ((
100
100
(3 − 1) + X ) ÷ 3 − X ) ÷ (
100
100
(3 − 1) + X ) ÷ 3 ×
1
4
 = ( X − (
85
100
(3 − 1) + X ) ÷ 3) ÷ (
85
100
(3 − 1) + X ) ÷ 3 ×
1
2
     Multiply both sides of the equation by:(
100
100
(3 − 1) + X ) ,  (
85
100
(3 − 1) + X )
     ((
100
100
(3 − 1) + X ) ÷ 3 − X ) ÷ 3 ×
1
4
(
85
100
(3 − 1) + X ) = ( X − (
85
100
(3 − 1) + X ) ÷ 3) ÷ 3 ×
1
2
(
100
100
(3 − 1) + X )
    Remove a bracket on the left of the equation:：
     (
100
100
(3 − 1) + X ) ÷ 3 ÷ 3 ×
1
4
(
85
100
(3 − 1) + X ) − X ÷ 3 ×
1
4
(
85
100
(3 − 1) + X ) = ( X − (
85
100
(3 − 1) + X ) ÷ 3) ÷ 3 ×
1
2
(
100
100
(3 − 1) + X )
    Remove a bracket on the right of the equation:：
     (
100
100
(3 − 1) + X ) ÷ 3 ÷ 3 ×
1
4
(
85
100
(3 − 1) + X ) − X ÷ 3 ×
1
4
(
85
100
(3 − 1) + X ) = X ÷ 3 ×
1
2
(
100
100
(3 − 1) + X ) − (
85
100
(3 − 1) + X ) ÷ 3 ÷ 3 ×
1
2
(
100
100
(3 − 1) + X )
    The equation is reduced to :
     (
100
100
(3 − 1) + X ) ×
1
36
(
85
100
(3 − 1) + X ) − X ×
1
12
(
85
100
(3 − 1) + X ) = X ×
1
6
(
100
100
(3 − 1) + X ) − (
85
100
(3 − 1) + X ) ×
1
18
(
100
100
(3 − 1) + X )
    Remove a bracket on the left of the equation:
     
100
100
(3 − 1) ×
1
36
(
85
100
(3 − 1) + X ) + X ×
1
36
(
85
100
(3 − 1) + X ) − X ×
1
12
(
85
100
(3 − 1) + X ) = X ×
1
6
(
100
100
(3 − 1) + X ) − (
85
100
(3 − 1) + X ) ×
1
18
(
100
100
(3 − 1) + X )
    Remove a bracket on the right of the equation:：
     
100
100
(3 − 1) ×
1
36
(
85
100
(3 − 1) + X ) + X ×
1
36
(
85
100
(3 − 1) + X ) − X ×
1
12
(
85
100
(3 − 1) + X ) = X ×
1
6
 ×
100
100
(3 − 1) + X ×
1
6
 X − (
85
100
(3 − 1) + X ) ×
1
18
(
100
100
(3 − 1) + X )
    The equation is reduced to :
     
1
36
(3 − 1)(
85
100
(3 − 1) + X ) + X ×
1
36
(
85
100
(3 − 1) + X ) − X ×
1
12
(
85
100
(3 − 1) + X ) = X ×
1
6
(3 − 1) + X ×
1
6
 X − (
85
100
(3 − 1) + X ) ×
1
18
(
100
100
(3 − 1) + X )
    Remove a bracket on the left of the equation:
     
1
36
 × 3(
85
100
(3 − 1) + X ) −
1
36
 × 1(
85
100
(3 − 1) + X ) + X ×
1
36
(
85
100
(3 − 1) + X ) − X ×
1
12
(
85
100
(3 − 1) + X ) = X ×
1
6
(3 − 1) + X ×
1
6
 X − (
85
100
(3 − 1) + X ) ×
1
18
(
100
100
(3 − 1) + X )
    Remove a bracket on the right of the equation:：
     
1
36
 × 3(
85
100
(3 − 1) + X ) −
1
36
 × 1(
85
100
(3 − 1) + X ) + X ×
1
36
(
85
100
(3 − 1) + X ) − X ×
1
12
(
85
100
(3 − 1) + X ) = X ×
1
6
 × 3 − X ×
1
6
 × 1 + X ×
1
6
 X − (
85
100
(3 − 1) + X ) ×
1
18
(
100
100
(3 − 1) + X )
    The equation is reduced to :
     
1
12
(
85
100
(3 − 1) + X ) −
1
36
(
85
100
(3 − 1) + X ) + X ×
1
36
(
85
100
(3 − 1) + X ) − X ×
1
12
(
85
100
(3 − 1) + X ) = X ×
1
2
 − X ×
1
6
 + X ×
1
6
 X − (
85
100
(3 − 1) + X ) ×
1
18
(
100
100
(3 − 1) + X )
    The equation is reduced to :
     
1
12
(
85
100
(3 − 1) + X ) −
1
36
(
85
100
(3 − 1) + X ) + X ×
1
36
(
85
100
(3 − 1) + X ) − X ×
1
12
(
85
100
(3 − 1) + X ) =
1
3
 X + X ×
1
6
 X − (
85
100
(3 − 1) + X ) ×
1
18
(
100
100
(3 − 1) + X )
    Remove a bracket on the left of the equation:
     
1
12
 ×
85
100
(3 − 1) +
1
12
 X −
1
36
(
85
100
(3 − 1) + X ) + X ×
1
36
(
85
100
(3 − 1) + X ) − X ×
1
12
 =
1
3
 X + X ×
1
6
 X − (
85
100
(3 − 1) + X ) ×
1
18
(
100
100
(3 − 1) + X )
    Remove a bracket on the right of the equation:：
     
1
12
 ×
85
100
(3 − 1) +
1
12
 X −
1
36
(
85
100
(3 − 1) + X ) + X ×
1
36
(
85
100
(3 − 1) + X ) − X ×
1
12
 =
1
3
 X + X ×
1
6
 X −
85
100
(3 − 1) ×
1
18
(
100
100
(3 − 1) + X ) − X ×
1
18
(
100
100
(3 − 1) + X )
    The equation is reduced to :
     
17
240
(3 − 1) +
1
12
 X −
1
36
(
85
100
(3 − 1) + X ) + X ×
1
36
(
85
100
(3 − 1) + X ) − X ×
1
12
(
85
100
(3 − 1) + X ) =
1
3
 X + X ×
1
6
 X −
17
360
(3 − 1)(
100
100
(3 − 1) + X ) − X ×
1
18
(
100
100
(3 − 1) + X )
    Remove a bracket on the left of the equation:
     
17
240
 × 3 −
17
240
 × 1 +
1
12
 X −
1
36
(
85
100
(3 − 1) + X ) + X ×
1
36
(
85
100
(3 − 1) + X ) − X =
1
3
 X + X ×
1
6
 X −
17
360
(3 − 1)(
100
100
(3 − 1) + X ) − X ×
1
18
(
100
100
(3 − 1) + X )
    Remove a bracket on the right of the equation:：
     
17
240
 × 3 −
17
240
 × 1 +
1
12
 X −
1
36
(
85
100
(3 − 1) + X ) + X ×
1
36
(
85
100
(3 − 1) + X ) − X =
1
3
 X + X ×
1
6
 X −
17
360
 × 3(
100
100
(3 − 1) + X ) +
17
360
 × 1(
100
100
(3 − 1) + X ) − X
    The equation is reduced to :
     
17
80
 −
17
240
 +
1
12
 X −
1
36
(
85
100
(3 − 1) + X ) + X ×
1
36
(
85
100
(3 − 1) + X ) − X ×
1
12
(
85
100
(3 − 1) + X ) =
1
3
 X + X ×
1
6
 X −
17
120
(
100
100
(3 − 1) + X ) +
17
360
(
100
100
(3 − 1) + X ) − X ×
1
18
(
100
100
(3 − 1) + X )
    The equation is reduced to :
     
17
120
 +
1
12
 X −
1
36
(
85
100
(3 − 1) + X ) + X ×
1
36
(
85
100
(3 − 1) + X ) − X ×
1
12
(
85
100
(3 − 1) + X ) =
1
3
 X + X ×
1
6
 X −
17
120
(
100
100
(3 − 1) + X ) +
17
360
(
100
100
(3 − 1) + X ) − X ×
1
18
(
100
100
(3 − 1) + X )
    Remove a bracket on the left of the equation:
     
17
120
 +
1
12
 X −
1
36
 ×
85
100
(3 − 1) −
1
36
 X + X ×
1
36
(
85
100
(3 − 1) + X ) − X =
1
3
 X + X ×
1
6
 X −
17
120
(
100
100
(3 − 1) + X ) +
17
360
(
100
100
(3 − 1) + X ) − X ×
1
18
(
100
100
(3 − 1) + X )
    Remove a bracket on the right of the equation:：
     
17
120
 +
1
12
 X −
1
36
 ×
85
100
(3 − 1) −
1
36
 X + X ×
1
36
(
85
100
(3 − 1) + X ) − X =
1
3
 X + X ×
1
6
 X −
17
120
 ×
100
100
(3 − 1) −
17
120
 X +
17
360
(
100
100
(3 − 1) + X )
    The equation is reduced to :
     
17
120
 +
1
12
 X −
17
720
(3 − 1) −
1
36
 X + X ×
1
36
(
85
100
(3 − 1) + X ) − X ×
1
12
 =
1
3
 X + X ×
1
6
 X −
17
120
(3 − 1) −
17
120
 X +
17
360
(
100
100
(3 − 1) + X ) − X
    The equation is reduced to :
     
17
120
 +
1
18
 X −
17
720
(3 − 1) + X ×
1
36
(
85
100
(3 − 1) + X ) − X ×
1
12
(
85
100
(3 − 1) + X ) =
23
120
 X + X ×
1
6
 X −
17
120
(3 − 1) +
17
360
(
100
100
(3 − 1) + X ) − X ×
1
18
(
100
100
(3 − 1) + X )
    Remove a bracket on the left of the equation:
     
17
120
 +
1
18
 X −
17
720
 × 3 +
17
720
 × 1 + X ×
1
36
(
85
100
(3 − 1) + X ) − X ×
1
12
 =
23
120
 X + X ×
1
6
 X −
17
120
(3 − 1) +
17
360
(
100
100
(3 − 1) + X ) − X ×
1
18
(
100
100
(3 − 1) + X )

    The solution of the equation:
        X1≈-1.896424 , keep 6 decimal places
        X2≈0.896424 , keep 6 decimal places    
    There are 2 solution(s).

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