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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%*(4-1)+X)/4-X)/(100%*(4-1)+X)/4*0.25 = (X-(85%*(4-1)+X)/4)/(85%*(4-1)+X)/4*0.5 .
    Question type: Equation
    Solution:Original question:
     ((
100
100
(4 − 1) + X ) ÷ 4 − X ) ÷ (
100
100
(4 − 1) + X ) ÷ 4 ×
1
4
 = ( X − (
85
100
(4 − 1) + X ) ÷ 4) ÷ (
85
100
(4 − 1) + X ) ÷ 4 ×
1
2
     Multiply both sides of the equation by:(
100
100
(4 − 1) + X ) ,  (
85
100
(4 − 1) + X )
     ((
100
100
(4 − 1) + X ) ÷ 4 − X ) ÷ 4 ×
1
4
(
85
100
(4 − 1) + X ) = ( X − (
85
100
(4 − 1) + X ) ÷ 4) ÷ 4 ×
1
2
(
100
100
(4 − 1) + X )
    Remove a bracket on the left of the equation:：
     (
100
100
(4 − 1) + X ) ÷ 4 ÷ 4 ×
1
4
(
85
100
(4 − 1) + X ) − X ÷ 4 ×
1
4
(
85
100
(4 − 1) + X ) = ( X − (
85
100
(4 − 1) + X ) ÷ 4) ÷ 4 ×
1
2
(
100
100
(4 − 1) + X )
    Remove a bracket on the right of the equation:：
     (
100
100
(4 − 1) + X ) ÷ 4 ÷ 4 ×
1
4
(
85
100
(4 − 1) + X ) − X ÷ 4 ×
1
4
(
85
100
(4 − 1) + X ) = X ÷ 4 ×
1
2
(
100
100
(4 − 1) + X ) − (
85
100
(4 − 1) + X ) ÷ 4 ÷ 4 ×
1
2
(
100
100
(4 − 1) + X )
    The equation is reduced to :
     (
100
100
(4 − 1) + X ) ×
1
64
(
85
100
(4 − 1) + X ) − X ×
1
16
(
85
100
(4 − 1) + X ) = X ×
1
8
(
100
100
(4 − 1) + X ) − (
85
100
(4 − 1) + X ) ×
1
32
(
100
100
(4 − 1) + X )
    Remove a bracket on the left of the equation:
     
100
100
(4 − 1) ×
1
64
(
85
100
(4 − 1) + X ) + X ×
1
64
(
85
100
(4 − 1) + X ) − X ×
1
16
(
85
100
(4 − 1) + X ) = X ×
1
8
(
100
100
(4 − 1) + X ) − (
85
100
(4 − 1) + X ) ×
1
32
(
100
100
(4 − 1) + X )
    Remove a bracket on the right of the equation:：
     
100
100
(4 − 1) ×
1
64
(
85
100
(4 − 1) + X ) + X ×
1
64
(
85
100
(4 − 1) + X ) − X ×
1
16
(
85
100
(4 − 1) + X ) = X ×
1
8
 ×
100
100
(4 − 1) + X ×
1
8
 X − (
85
100
(4 − 1) + X ) ×
1
32
(
100
100
(4 − 1) + X )
    The equation is reduced to :
     
1
64
(4 − 1)(
85
100
(4 − 1) + X ) + X ×
1
64
(
85
100
(4 − 1) + X ) − X ×
1
16
(
85
100
(4 − 1) + X ) = X ×
1
8
(4 − 1) + X ×
1
8
 X − (
85
100
(4 − 1) + X ) ×
1
32
(
100
100
(4 − 1) + X )
    Remove a bracket on the left of the equation:
     
1
64
 × 4(
85
100
(4 − 1) + X ) −
1
64
 × 1(
85
100
(4 − 1) + X ) + X ×
1
64
(
85
100
(4 − 1) + X ) − X ×
1
16
(
85
100
(4 − 1) + X ) = X ×
1
8
(4 − 1) + X ×
1
8
 X − (
85
100
(4 − 1) + X ) ×
1
32
(
100
100
(4 − 1) + X )
    Remove a bracket on the right of the equation:：
     
1
64
 × 4(
85
100
(4 − 1) + X ) −
1
64
 × 1(
85
100
(4 − 1) + X ) + X ×
1
64
(
85
100
(4 − 1) + X ) − X ×
1
16
(
85
100
(4 − 1) + X ) = X ×
1
8
 × 4 − X ×
1
8
 × 1 + X ×
1
8
 X − (
85
100
(4 − 1) + X ) ×
1
32
(
100
100
(4 − 1) + X )
    The equation is reduced to :
     
1
16
(
85
100
(4 − 1) + X ) −
1
64
(
85
100
(4 − 1) + X ) + X ×
1
64
(
85
100
(4 − 1) + X ) − X ×
1
16
(
85
100
(4 − 1) + X ) = X ×
1
2
 − X ×
1
8
 + X ×
1
8
 X − (
85
100
(4 − 1) + X ) ×
1
32
(
100
100
(4 − 1) + X )
    The equation is reduced to :
     
1
16
(
85
100
(4 − 1) + X ) −
1
64
(
85
100
(4 − 1) + X ) + X ×
1
64
(
85
100
(4 − 1) + X ) − X ×
1
16
(
85
100
(4 − 1) + X ) =
3
8
 X + X ×
1
8
 X − (
85
100
(4 − 1) + X ) ×
1
32
(
100
100
(4 − 1) + X )
    Remove a bracket on the left of the equation:
     
1
16
 ×
85
100
(4 − 1) +
1
16
 X −
1
64
(
85
100
(4 − 1) + X ) + X ×
1
64
(
85
100
(4 − 1) + X ) − X ×
1
16
 =
3
8
 X + X ×
1
8
 X − (
85
100
(4 − 1) + X ) ×
1
32
(
100
100
(4 − 1) + X )
    Remove a bracket on the right of the equation:：
     
1
16
 ×
85
100
(4 − 1) +
1
16
 X −
1
64
(
85
100
(4 − 1) + X ) + X ×
1
64
(
85
100
(4 − 1) + X ) − X ×
1
16
 =
3
8
 X + X ×
1
8
 X −
85
100
(4 − 1) ×
1
32
(
100
100
(4 − 1) + X ) − X ×
1
32
(
100
100
(4 − 1) + X )
    The equation is reduced to :
     
17
320
(4 − 1) +
1
16
 X −
1
64
(
85
100
(4 − 1) + X ) + X ×
1
64
(
85
100
(4 − 1) + X ) − X ×
1
16
(
85
100
(4 − 1) + X ) =
3
8
 X + X ×
1
8
 X −
17
640
(4 − 1)(
100
100
(4 − 1) + X ) − X ×
1
32
(
100
100
(4 − 1) + X )
    Remove a bracket on the left of the equation:
     
17
320
 × 4 −
17
320
 × 1 +
1
16
 X −
1
64
(
85
100
(4 − 1) + X ) + X ×
1
64
(
85
100
(4 − 1) + X ) − X =
3
8
 X + X ×
1
8
 X −
17
640
(4 − 1)(
100
100
(4 − 1) + X ) − X ×
1
32
(
100
100
(4 − 1) + X )
    Remove a bracket on the right of the equation:：
     
17
320
 × 4 −
17
320
 × 1 +
1
16
 X −
1
64
(
85
100
(4 − 1) + X ) + X ×
1
64
(
85
100
(4 − 1) + X ) − X =
3
8
 X + X ×
1
8
 X −
17
640
 × 4(
100
100
(4 − 1) + X ) +
17
640
 × 1(
100
100
(4 − 1) + X ) − X
    The equation is reduced to :
     
17
80
 −
17
320
 +
1
16
 X −
1
64
(
85
100
(4 − 1) + X ) + X ×
1
64
(
85
100
(4 − 1) + X ) − X ×
1
16
(
85
100
(4 − 1) + X ) =
3
8
 X + X ×
1
8
 X −
17
160
(
100
100
(4 − 1) + X ) +
17
640
(
100
100
(4 − 1) + X ) − X ×
1
32
(
100
100
(4 − 1) + X )
    The equation is reduced to :
     
51
320
 +
1
16
 X −
1
64
(
85
100
(4 − 1) + X ) + X ×
1
64
(
85
100
(4 − 1) + X ) − X ×
1
16
(
85
100
(4 − 1) + X ) =
3
8
 X + X ×
1
8
 X −
17
160
(
100
100
(4 − 1) + X ) +
17
640
(
100
100
(4 − 1) + X ) − X ×
1
32
(
100
100
(4 − 1) + X )
    Remove a bracket on the left of the equation:
     
51
320
 +
1
16
 X −
1
64
 ×
85
100
(4 − 1) −
1
64
 X + X ×
1
64
(
85
100
(4 − 1) + X ) − X =
3
8
 X + X ×
1
8
 X −
17
160
(
100
100
(4 − 1) + X ) +
17
640
(
100
100
(4 − 1) + X ) − X ×
1
32
(
100
100
(4 − 1) + X )
    Remove a bracket on the right of the equation:：
     
51
320
 +
1
16
 X −
1
64
 ×
85
100
(4 − 1) −
1
64
 X + X ×
1
64
(
85
100
(4 − 1) + X ) − X =
3
8
 X + X ×
1
8
 X −
17
160
 ×
100
100
(4 − 1) −
17
160
 X +
17
640
(
100
100
(4 − 1) + X )
    The equation is reduced to :
     
51
320
 +
1
16
 X −
17
1280
(4 − 1) −
1
64
 X + X ×
1
64
(
85
100
(4 − 1) + X ) − X ×
1
16
 =
3
8
 X + X ×
1
8
 X −
17
160
(4 − 1) −
17
160
 X +
17
640
(
100
100
(4 − 1) + X ) − X
    The equation is reduced to :
     
51
320
 +
3
64
 X −
17
1280
(4 − 1) + X ×
1
64
(
85
100
(4 − 1) + X ) − X ×
1
16
(
85
100
(4 − 1) + X ) =
43
160
 X + X ×
1
8
 X −
17
160
(4 − 1) +
17
640
(
100
100
(4 − 1) + X ) − X ×
1
32
(
100
100
(4 − 1) + X )
    Remove a bracket on the left of the equation:
     
51
320
 +
3
64
 X −
17
1280
 × 4 +
17
1280
 × 1 + X ×
1
64
(
85
100
(4 − 1) + X ) − X ×
1
16
 =
43
160
 X + X ×
1
8
 X −
17
160
(4 − 1) +
17
640
(
100
100
(4 − 1) + X ) − X ×
1
32
(
100
100
(4 − 1) + X )

    The solution of the equation:
        X1≈-2.845996 , keep 6 decimal places
        X2≈0.895996 , keep 6 decimal places    
    There are 2 solution(s).

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