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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 (20/(6.1*6.1*21))+(20/0.043)((1/6.1)-(1/x)) = (62.2/0.43)((1/x)-(1/6.55)) .
    Question type: Equation
    Solution:Original question:
     (20 ÷ (
61
10
×
61
10
× 21)) + (20 ÷
43
1000
)((1 ÷
61
10
)(1 ÷ x )) = (
311
5
÷
43
100
)((1 ÷ x )(1 ÷
131
20
))
    Remove a bracket on the left of the equation::
     20 ÷ (
61
10
×
61
10
× 21) + (20 ÷
43
1000
)((1 ÷
61
10
)(1 ÷ x )) = (
311
5
÷
43
100
)((1 ÷ x )(1 ÷
131
20
))
    Remove a bracket on the right of the equation::
     20 ÷ (
61
10
×
61
10
× 21) + (20 ÷
43
1000
)((1 ÷
61
10
)(1 ÷ x )) =
311
5
÷
43
100
× ((1 ÷ x )(1 ÷
131
20
))
    The equation is reduced to :
     20 ÷ (
61
10
×
61
10
× 21) + (20 ÷
43
1000
)((1 ÷
61
10
)(1 ÷ x )) =
6220
43
((1 ÷ x )(1 ÷
131
20
))
     Multiply both sides of the equation by:(
61
10
×
61
10
× 21)
     20 + (20 ÷
43
1000
)((1 ÷
61
10
)(1 ÷ x ))(
61
10
×
61
10
× 21) =
6220
43
((1 ÷ x )(1 ÷
131
20
))(
61
10
×
61
10
× 21)
    Remove a bracket on the left of the equation:
     20 + 20 ÷
43
1000
× ((1 ÷
61
10
)(1 ÷ x ))(
61
10
×
61
10
× 21) =
6220
43
((1 ÷ x )(1 ÷
131
20
))(
61
10
×
61
10
× 21)
    Remove a bracket on the right of the equation::
     20 + 20 ÷
43
1000
× ((1 ÷
61
10
)(1 ÷ x ))(
61
10
×
61
10
× 21) =
6220
43
(1 ÷ x )(
61
10
×
61
10
× 21)
6220
43
(1 ÷
131
20
)(
61
10
×
61
10
× 21)
    The equation is reduced to :
     20 +
20000
43
((1 ÷
61
10
)(1 ÷ x ))(
61
10
×
61
10
× 21) =
6220
43
(1 ÷ x )(
61
10
×
61
10
× 21)
6220
43
(1 ÷
131
20
)(
61
10
×
61
10
× 21)
    Remove a bracket on the left of the equation:
     20 +
20000
43
(1 ÷
61
10
)(
61
10
×
61
10
× 21)
20000
43
(1 ÷ x )(
61
10
×
61
10
× 21) =
6220
43
(1 ÷ x )(
61
10
×
61
10
× 21)
6220
43
(1 ÷
131
20
)(
61
10
×
61
10
× 21)
    Remove a bracket on the right of the equation::
     20 +
20000
43
(1 ÷
61
10
)(
61
10
×
61
10
× 21)
20000
43
(1 ÷ x )(
61
10
×
61
10
× 21) =
6220
43
× 1 ÷ x × (
61
10
×
61
10
× 21)
6220
43
(1 ÷
131
20
)(
61
10
×
61
10
× 21)
    The equation is reduced to :
     20 +
20000
43
(1 ÷
61
10
)(
61
10
×
61
10
× 21)
20000
43
(1 ÷ x )(
61
10
×
61
10
× 21) =
6220
43
÷ x × (
61
10
×
61
10
× 21)
6220
43
(1 ÷
131
20
)(
61
10
×
61
10
× 21)
     Multiply both sides of the equation by: x
     20 x +
20000
43
(1 ÷
61
10
)(
61
10
×
61
10
× 21) x
20000
43
(1 ÷ x )(
61
10
×
61
10
× 21) x =
6220
43
(
61
10
×
61
10
× 21)
6220
43
(1 ÷
131
20
)(
61
10
×
61
10
× 21) x
    Remove a bracket on the left of the equation:
     20 x +
20000
43
× 1 ÷
61
10
× (
61
10
×
61
10
× 21) x
20000
43
(1 ÷ x )(
61
10
×
61
10
× 21) x =
6220
43
(
61
10
×
61
10
× 21)
6220
43
(1 ÷
131
20
)(
61
10
×
61
10
× 21) x
    Remove a bracket on the right of the equation::
     20 x +
20000
43
× 1 ÷
61
10
× (
61
10
×
61
10
× 21) x
20000
43
(1 ÷ x )(
61
10
×
61
10
× 21) x =
6220
43
×
61
10
×
61
10
× 21
6220
43
(1 ÷
131
20
)(
61
10
×
61
10
× 21) x
    The equation is reduced to :
     20 x +
200000
2623
(
61
10
×
61
10
× 21) x
20000
43
(1 ÷ x )(
61
10
×
61
10
× 21) x =
24301851
215
6220
43
(1 ÷
131
20
)(
61
10
×
61
10
× 21) x
    Remove a bracket on the left of the equation:
     20 x +
200000
2623
×
61
10
×
61
10
× 21 x
20000
43
(1 ÷ 1)(
61
10
×
61
10
× 21) × 1 =
24301851
215
6220
43
(1 ÷
131
20
)(
61
10
×
61
10
× 21) x
    Remove a bracket on the right of the equation::
     20 x +
200000
2623
×
61
10
×
61
10
× 21 x
20000
43
(1 ÷ 1)(
61
10
×
61
10
× 21) × 1 =
24301851
215
6220
43
× 1 ÷
131
20
× (
61
10
×
61
10
× 21) x
    The equation is reduced to :
     20 x +
156282000
2623
x
20000
43
(1 ÷ 1)(
61
10
×
61
10
× 21) =
24301851
215
124400
5633
(
61
10
×
61
10
× 21) x
    The equation is reduced to :
     
156334460
2623
x
20000
43
(1 ÷ 1)(
61
10
×
61
10
× 21) =
24301851
215
124400
5633
(
61
10
×
61
10
× 21) x
    Remove a bracket on the left of the equation:
     
156334460
2623
x
20000
43
× 1 ÷ 1 × (
61
10
×
61
10
× 21) =
24301851
215
124400
5633
(
61
10
×
61
10
× 21) x
    Remove a bracket on the right of the equation::
     
156334460
2623
x
20000
43
× 1 ÷ 1 × (
61
10
×
61
10
× 21) =
24301851
215
124400
5633
×
61
10
×
61
10
× 21 x
    The equation is reduced to :
     
156334460
2623
x
20000
43
(
61
10
×
61
10
× 21) =
24301851
215
97207404
5633
x
    Remove a bracket on the left of the equation:
     
156334460
2623
x
20000
43
×
61
10
×
61
10
× 21 =
24301851
215
97207404
5633
x
    The equation is reduced to :
     
156334460
2623
x
15628200
43
=
24301851
215
97207404
5633
x
    The equation can be reduced to :
     
156334460
2623
x
15628200
43
=
24301851
215
97207404
5633
x

    Transposition :
     
156334460
2623
x +
97207404
5633
x =
24301851
215
+
15628200
43
    This equation has no real solution!


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