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On line Solution of Monovariate Equation:
    Input any unary equation directly, and then click the "Next" button to obtain the solution of the equation.
    It supports equations that contain mathematical functions.
    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 (29.73-20)/(30-29.73) = (a-1.05)/(0.8007-a) .
    Question type: Equation
    Solution:Original question:
     (
2973
100
− 20) ÷ (30 −
2973
100
) = ( a −
21
20
) ÷ (
8007
10000
− a )
     Multiply both sides of the equation by:(30 −
2973
100
) ,  (
8007
10000
− a )
     (
2973
100
− 20)(
8007
10000
− a ) = ( a −
21
20
)(30 −
2973
100
)
    Remove a bracket on the left of the equation::
     
2973
100
(
8007
10000
− a ) − 20(
8007
10000
− a ) = ( a −
21
20
)(30 −
2973
100
)
    Remove a bracket on the right of the equation::
     
2973
100
(
8007
10000
− a ) − 20(
8007
10000
− a ) = a (30 −
2973
100
) −
21
20
(30 −
2973
100
)
    Remove a bracket on the left of the equation:
     
2973
100
×
8007
10000
−
2973
100
a − 20(
8007
10000
− a ) = a (30 −
2973
100
) −
21
20
(30 −
2973
100
)
    Remove a bracket on the right of the equation::
     
2973
100
×
8007
10000
−
2973
100
a − 20(
8007
10000
− a ) = a × 30 − a ×
2973
100
−
21
20
(30 −
2973
100
)
    The equation is reduced to :
     
23804811
1000000
−
2973
100
a − 20(
8007
10000
− a ) = a × 30 − a ×
2973
100
−
21
20
(30 −
2973
100
)
    The equation is reduced to :
     
23804811
1000000
−
2973
100
a − 20(
8007
10000
− a ) =
27
100
a −
21
20
(30 −
2973
100
)
    Remove a bracket on the left of the equation:
     
23804811
1000000
−
2973
100
a − 20 ×
8007
10000
+ 20 a =
27
100
a −
21
20
(30 −
2973
100
)
    Remove a bracket on the right of the equation::
     
23804811
1000000
−
2973
100
a − 20 ×
8007
10000
+ 20 a =
27
100
a −
21
20
× 30 +
21
20
×
2973
100
    The equation is reduced to :
     
23804811
1000000
−
2973
100
a −
8007
500
+ 20 a =
27
100
a −
63
2
+
62433
2000
    The equation is reduced to :
     
7790811
1000000
−
973
100
a =
27
100
a −
567
2000

    Transposition :
      -
973
100
a −
27
100
a = -
567
2000
−
7790811
1000000

    Combine the items on the left of the equation:
      - 10 a = -
567
2000
−
7790811
1000000
    This equation has no real solution!


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