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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%*(9-1)+X)/9-X)/(100%*(9-1)+X)/9*0.25 = (X-(85%*(9-1)+X)/9)/(85%*(9-1)+X)/9*0.5 .
    Question type: Equation
    Solution:Original question:
     ((
100
100
(9 − 1) + X ) ÷ 9 − X ) ÷ (
100
100
(9 − 1) + X ) ÷ 9 ×
1
4
 = ( X − (
85
100
(9 − 1) + X ) ÷ 9) ÷ (
85
100
(9 − 1) + X ) ÷ 9 ×
1
2
     Multiply both sides of the equation by:(
100
100
(9 − 1) + X ) ,  (
85
100
(9 − 1) + X )
     ((
100
100
(9 − 1) + X ) ÷ 9 − X ) ÷ 9 ×
1
4
(
85
100
(9 − 1) + X ) = ( X − (
85
100
(9 − 1) + X ) ÷ 9) ÷ 9 ×
1
2
(
100
100
(9 − 1) + X )
    Remove a bracket on the left of the equation:：
     (
100
100
(9 − 1) + X ) ÷ 9 ÷ 9 ×
1
4
(
85
100
(9 − 1) + X ) − X ÷ 9 ×
1
4
(
85
100
(9 − 1) + X ) = ( X − (
85
100
(9 − 1) + X ) ÷ 9) ÷ 9 ×
1
2
(
100
100
(9 − 1) + X )
    Remove a bracket on the right of the equation:：
     (
100
100
(9 − 1) + X ) ÷ 9 ÷ 9 ×
1
4
(
85
100
(9 − 1) + X ) − X ÷ 9 ×
1
4
(
85
100
(9 − 1) + X ) = X ÷ 9 ×
1
2
(
100
100
(9 − 1) + X ) − (
85
100
(9 − 1) + X ) ÷ 9 ÷ 9 ×
1
2
(
100
100
(9 − 1) + X )
    The equation is reduced to :
     (
100
100
(9 − 1) + X ) ×
1
324
(
85
100
(9 − 1) + X ) − X ×
1
36
(
85
100
(9 − 1) + X ) = X ×
1
18
(
100
100
(9 − 1) + X ) − (
85
100
(9 − 1) + X ) ×
1
162
(
100
100
(9 − 1) + X )
    Remove a bracket on the left of the equation:
     
100
100
(9 − 1) ×
1
324
(
85
100
(9 − 1) + X ) + X ×
1
324
(
85
100
(9 − 1) + X ) − X ×
1
36
(
85
100
(9 − 1) + X ) = X ×
1
18
(
100
100
(9 − 1) + X ) − (
85
100
(9 − 1) + X ) ×
1
162
(
100
100
(9 − 1) + X )
    Remove a bracket on the right of the equation:：
     
100
100
(9 − 1) ×
1
324
(
85
100
(9 − 1) + X ) + X ×
1
324
(
85
100
(9 − 1) + X ) − X ×
1
36
(
85
100
(9 − 1) + X ) = X ×
1
18
 ×
100
100
(9 − 1) + X ×
1
18
 X − (
85
100
(9 − 1) + X ) ×
1
162
(
100
100
(9 − 1) + X )
    The equation is reduced to :
     
1
324
(9 − 1)(
85
100
(9 − 1) + X ) + X ×
1
324
(
85
100
(9 − 1) + X ) − X ×
1
36
(
85
100
(9 − 1) + X ) = X ×
1
18
(9 − 1) + X ×
1
18
 X − (
85
100
(9 − 1) + X ) ×
1
162
(
100
100
(9 − 1) + X )
    Remove a bracket on the left of the equation:
     
1
324
 × 9(
85
100
(9 − 1) + X ) −
1
324
 × 1(
85
100
(9 − 1) + X ) + X ×
1
324
(
85
100
(9 − 1) + X ) − X ×
1
36
(
85
100
(9 − 1) + X ) = X ×
1
18
(9 − 1) + X ×
1
18
 X − (
85
100
(9 − 1) + X ) ×
1
162
(
100
100
(9 − 1) + X )
    Remove a bracket on the right of the equation:：
     
1
324
 × 9(
85
100
(9 − 1) + X ) −
1
324
 × 1(
85
100
(9 − 1) + X ) + X ×
1
324
(
85
100
(9 − 1) + X ) − X ×
1
36
(
85
100
(9 − 1) + X ) = X ×
1
18
 × 9 − X ×
1
18
 × 1 + X ×
1
18
 X − (
85
100
(9 − 1) + X ) ×
1
162
(
100
100
(9 − 1) + X )
    The equation is reduced to :
     
1
36
(
85
100
(9 − 1) + X ) −
1
324
(
85
100
(9 − 1) + X ) + X ×
1
324
(
85
100
(9 − 1) + X ) − X ×
1
36
(
85
100
(9 − 1) + X ) = X ×
1
2
 − X ×
1
18
 + X ×
1
18
 X − (
85
100
(9 − 1) + X ) ×
1
162
(
100
100
(9 − 1) + X )
    The equation is reduced to :
     
1
36
(
85
100
(9 − 1) + X ) −
1
324
(
85
100
(9 − 1) + X ) + X ×
1
324
(
85
100
(9 − 1) + X ) − X ×
1
36
(
85
100
(9 − 1) + X ) =
4
9
 X + X ×
1
18
 X − (
85
100
(9 − 1) + X ) ×
1
162
(
100
100
(9 − 1) + X )
    Remove a bracket on the left of the equation:
     
1
36
 ×
85
100
(9 − 1) +
1
36
 X −
1
324
(
85
100
(9 − 1) + X ) + X ×
1
324
(
85
100
(9 − 1) + X ) − X ×
1
36
 =
4
9
 X + X ×
1
18
 X − (
85
100
(9 − 1) + X ) ×
1
162
(
100
100
(9 − 1) + X )
    Remove a bracket on the right of the equation:：
     
1
36
 ×
85
100
(9 − 1) +
1
36
 X −
1
324
(
85
100
(9 − 1) + X ) + X ×
1
324
(
85
100
(9 − 1) + X ) − X ×
1
36
 =
4
9
 X + X ×
1
18
 X −
85
100
(9 − 1) ×
1
162
(
100
100
(9 − 1) + X ) − X ×
1
162
(
100
100
(9 − 1) + X )
    The equation is reduced to :
     
17
720
(9 − 1) +
1
36
 X −
1
324
(
85
100
(9 − 1) + X ) + X ×
1
324
(
85
100
(9 − 1) + X ) − X ×
1
36
(
85
100
(9 − 1) + X ) =
4
9
 X + X ×
1
18
 X −
17
3240
(9 − 1)(
100
100
(9 − 1) + X ) − X ×
1
162
(
100
100
(9 − 1) + X )
    Remove a bracket on the left of the equation:
     
17
720
 × 9 −
17
720
 × 1 +
1
36
 X −
1
324
(
85
100
(9 − 1) + X ) + X ×
1
324
(
85
100
(9 − 1) + X ) − X =
4
9
 X + X ×
1
18
 X −
17
3240
(9 − 1)(
100
100
(9 − 1) + X ) − X ×
1
162
(
100
100
(9 − 1) + X )
    Remove a bracket on the right of the equation:：
     
17
720
 × 9 −
17
720
 × 1 +
1
36
 X −
1
324
(
85
100
(9 − 1) + X ) + X ×
1
324
(
85
100
(9 − 1) + X ) − X =
4
9
 X + X ×
1
18
 X −
17
3240
 × 9(
100
100
(9 − 1) + X ) +
17
3240
 × 1(
100
100
(9 − 1) + X ) − X
    The equation is reduced to :
     
17
80
 −
17
720
 +
1
36
 X −
1
324
(
85
100
(9 − 1) + X ) + X ×
1
324
(
85
100
(9 − 1) + X ) − X ×
1
36
(
85
100
(9 − 1) + X ) =
4
9
 X + X ×
1
18
 X −
17
360
(
100
100
(9 − 1) + X ) +
17
3240
(
100
100
(9 − 1) + X ) − X ×
1
162
(
100
100
(9 − 1) + X )
    The equation is reduced to :
     
17
90
 +
1
36
 X −
1
324
(
85
100
(9 − 1) + X ) + X ×
1
324
(
85
100
(9 − 1) + X ) − X ×
1
36
(
85
100
(9 − 1) + X ) =
4
9
 X + X ×
1
18
 X −
17
360
(
100
100
(9 − 1) + X ) +
17
3240
(
100
100
(9 − 1) + X ) − X ×
1
162
(
100
100
(9 − 1) + X )
    Remove a bracket on the left of the equation:
     
17
90
 +
1
36
 X −
1
324
 ×
85
100
(9 − 1) −
1
324
 X + X ×
1
324
(
85
100
(9 − 1) + X ) − X =
4
9
 X + X ×
1
18
 X −
17
360
(
100
100
(9 − 1) + X ) +
17
3240
(
100
100
(9 − 1) + X ) − X ×
1
162
(
100
100
(9 − 1) + X )
    Remove a bracket on the right of the equation:：
     
17
90
 +
1
36
 X −
1
324
 ×
85
100
(9 − 1) −
1
324
 X + X ×
1
324
(
85
100
(9 − 1) + X ) − X =
4
9
 X + X ×
1
18
 X −
17
360
 ×
100
100
(9 − 1) −
17
360
 X +
17
3240
(
100
100
(9 − 1) + X )
    The equation is reduced to :
     
17
90
 +
1
36
 X −
17
6480
(9 − 1) −
1
324
 X + X ×
1
324
(
85
100
(9 − 1) + X ) − X ×
1
36
 =
4
9
 X + X ×
1
18
 X −
17
360
(9 − 1) −
17
360
 X +
17
3240
(
100
100
(9 − 1) + X ) − X
    The equation is reduced to :
     
17
90
 +
2
81
 X −
17
6480
(9 − 1) + X ×
1
324
(
85
100
(9 − 1) + X ) − X ×
1
36
(
85
100
(9 − 1) + X ) =
143
360
 X + X ×
1
18
 X −
17
360
(9 − 1) +
17
3240
(
100
100
(9 − 1) + X ) − X ×
1
162
(
100
100
(9 − 1) + X )
    Remove a bracket on the left of the equation:
     
17
90
 +
2
81
 X −
17
6480
 × 9 +
17
6480
 × 1 + X ×
1
324
(
85
100
(9 − 1) + X ) − X ×
1
36
 =
143
360
 X + X ×
1
18
 X −
17
360
(9 − 1) +
17
3240
(
100
100
(9 − 1) + X ) − X ×
1
162
(
100
100
(9 − 1) + X )

    The solution of the equation:
        X1≈-7.595292 , keep 6 decimal places
        X2≈0.895292 , keep 6 decimal places    
    There are 2 solution(s).

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