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    Overview: 1 questions will be solved this time.Among them
           ☆1 equations

[ 1/1 Equation]
    Work: Find the solution of equation 0.1 = (0.08*((1/(0.7-0.15))*(1-X))/(1-0.08*((1/(0.7-0.15))*(1-X))) ) .
    Question type: Equation
    Solution:Original question:
     
1
10
= (
2
25
((1 ÷ (
7
10
3
20
))(1 X )) ÷ (1
2
25
((1 ÷ (
7
10
3
20
))(1 X ))))
    Remove a bracket on the right of the equation::
     
1
10
=
2
25
((1 ÷ (
7
10
3
20
))(1 X )) ÷ (1
2
25
((1 ÷ (
7
10
3
20
))(1 X )))
     Multiply both sides of the equation by:(1
2
25
((1 ÷ (
7
10
3
20
))(1 X )))
     
1
10
(1
2
25
((1 ÷ (
7
10
3
20
))(1 X ))) =
2
25
((1 ÷ (
7
10
3
20
))(1 X ))
    Remove a bracket on the left of the equation:
     
1
10
× 1
1
10
×
2
25
((1 ÷ (
7
10
3
20
))(1 X )) =
2
25
((1 ÷ (
7
10
3
20
))(1 X ))
    Remove a bracket on the right of the equation::
     
1
10
× 1
1
10
×
2
25
((1 ÷ (
7
10
3
20
))(1 X )) =
2
25
(1 ÷ (
7
10
3
20
))(1 X )
    The equation is reduced to :
     
1
10
1
125
((1 ÷ (
7
10
3
20
))(1 X )) =
2
25
(1 ÷ (
7
10
3
20
))(1 X )
    Remove a bracket on the left of the equation:
     
1
10
1
125
(1 ÷ (
7
10
3
20
))(1 X ) =
2
25
(1 ÷ (
7
10
3
20
))(1 X )
    Remove a bracket on the right of the equation::
     
1
10
1
125
(1 ÷ (
7
10
3
20
))(1 X ) =
2
25
× 1 ÷ (
7
10
3
20
) × (1 X )
    The equation is reduced to :
     
1
10
1
125
(1 ÷ (
7
10
3
20
))(1 X ) =
2
25
÷ (
7
10
3
20
) × (1 X )
     Multiply both sides of the equation by:(
7
10
3
20
)
     
1
10
(
7
10
3
20
)
1
125
(1 ÷ (
7
10
3
20
))(1 X )(
7
10
3
20
) =
2
25
(1 X )
    Remove a bracket on the left of the equation:
     
1
10
×
7
10
1
10
×
3
20
1
125
(1 ÷ (
7
10
3
20
))(1 X )(
7
10
3
20
) =
2
25
(1 X )
    Remove a bracket on the right of the equation::
     
1
10
×
7
10
1
10
×
3
20
1
125
(1 ÷ (
7
10
3
20
))(1 X )(
7
10
3
20
) =
2
25
× 1
2
25
X
    The equation is reduced to :
     
7
100
3
200
1
125
(1 ÷ (
7
10
3
20
))(1 X )(
7
10
3
20
) =
2
25
2
25
X
    The equation is reduced to :
     
11
200
1
125
(1 ÷ (
7
10
3
20
))(1 X )(
7
10
3
20
) =
2
25
2
25
X
    Remove a bracket on the left of the equation:
     
11
200
1
125
× 1 ÷ (
7
10
3
20
) × (1 X )(
7
10
3
20
) =
2
25
2
25
X
    The equation is reduced to :
     
11
200
1
125
÷ (
7
10
3
20
) × (1 X )(
7
10
3
20
) =
2
25
2
25
X
     Multiply both sides of the equation by:(
7
10
3
20
)
     
11
200
(
7
10
3
20
)
1
125
(1 X )(
7
10
3
20
) =
2
25
(
7
10
3
20
)
2
25
X (
7
10
3
20
)
    Remove a bracket on the left of the equation:
     
11
200
×
7
10
11
200
×
3
20
1
125
(1 X )(
7
10
3
20
) =
2
25
(
7
10
3
20
)
2
25
X (
7
10
3
20
)
    Remove a bracket on the right of the equation::
     
11
200
×
7
10
11
200
×
3
20
1
125
(1 X )(
7
10
3
20
) =
2
25
×
7
10
2
25
×
3
20
2
25
X (
7
10
3
20
)
    The equation is reduced to :
     
77
2000
33
4000
1
125
(1 X )(
7
10
3
20
) =
7
125
3
250
2
25
X (
7
10
3
20
)
    The equation is reduced to :
     
121
4000
1
125
(1 X )(
7
10
3
20
) =
11
250
2
25
X (
7
10
3
20
)
    Remove a bracket on the left of the equation:
     
121
4000
1
125
× 1(
7
10
3
20
) +
1
125
X (
7
10
3
20
) =
11
250
2
25
X (
7
10
3
20
)
    Remove a bracket on the right of the equation::
     
121
4000
1
125
× 1(
7
10
3
20
) +
1
125
X (
7
10
3
20
) =
11
250
2
25
X ×
7
10
+
2
25
X ×
3
20

    
        X1=
3
8
    
    There are 1 solution(s).


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