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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 (2.29x)/(1+1.29x) = (0.91x)/(-0.09)-(0.44)/(0.09) .
    Question type: Equation
    Solution:Original question:
     (
229
100
 x ) ÷ (1 +
129
100
 x ) = (
91
100
 x ) ÷ ( -
9
100
) − (
11
25
) ÷ (
9
100
)
     Multiply both sides of the equation by:(1 +
129
100
 x ) ,  ( -
9
100
)
     (
229
100
 x )( -
9
100
) = (
91
100
 x )(1 +
129
100
 x ) − (
11
25
) ÷ (
9
100
) × (1 +
129
100
 x )( -
9
100
)
    Remove a bracket on the left of the equation:：
     
229
100
 x ( -
9
100
) = (
91
100
 x )(1 +
129
100
 x ) − (
11
25
) ÷ (
9
100
) × (1 +
129
100
 x )( -
9
100
)
    Remove a bracket on the right of the equation:：
     
229
100
 x ( -
9
100
) =
91
100
 x (1 +
129
100
 x ) − (
11
25
) ÷ (
9
100
) × (1 +
129
100
 x )( -
9
100
)
     Multiply both sides of the equation by:(
9
100
)
     
229
100
 x ( -
9
100
)(
9
100
) =
91
100
 x (1 +
129
100
 x )(
9
100
) − (
11
25
)(1 +
129
100
 x )( -
9
100
)
    Remove a bracket on the left of the equation:
      -
229
100
 x ×
9
100
(
9
100
) =
91
100
 x (1 +
129
100
 x )(
9
100
) − (
11
25
)(1 +
129
100
 x )( -
9
100
)
    Remove a bracket on the right of the equation:：
      -
229
100
 x ×
9
100
(
9
100
) =
91
100
 x × 1(
9
100
) +
91
100
 x ×
129
100
 x (
9
100
) − (
11
25
)(1 +
129
100
 x )( -
9
100
)
    The equation is reduced to :
      -
2061
10000
 x (
9
100
) =
91
100
 x (
9
100
) +
11739
10000
 x x (
9
100
) − (
11
25
)(1 +
129
100
 x )( -
9
100
)
    Remove a bracket on the left of the equation:
      -
2061
10000
 x ×
9
100
 =
91
100
 x (
9
100
) +
11739
10000
 x x (
9
100
) − (
11
25
)(1 +
129
100
 x )( -
9
100
)
    Remove a bracket on the right of the equation:：
      -
2061
10000
 x ×
9
100
 =
91
100
 x ×
9
100
 +
11739
10000
 x x (
9
100
) − (
11
25
)(1 +
129
100
 x )( -
9
100
)
    The equation is reduced to :
      -
18549
1000000
 x =
819
10000
 x +
11739
10000
 x x (
9
100
) − (
11
25
)(1 +
129
100
 x )( -
9
100
)
    Remove a bracket on the right of the equation:：
      -
18549
1000000
 x =
819
10000
 x +
11739
10000
 x x ×
9
100
 − (
11
25
)(1 +
129
100
 x )( -
9
100
)
    The equation is reduced to :
      -
18549
1000000
 x =
819
10000
 x +
105651
1000000
 x x − (
11
25
)(1 +
129
100
 x )( -
9
100
)
    Remove a bracket on the right of the equation:：
      -
18549
1000000
 x =
819
10000
 x +
105651
1000000
 x x −
11
25
(1 +
129
100
 x )( -
9
100
)
    Remove a bracket on the right of the equation:：
      -
18549
1000000
 x =
819
10000
 x +
105651
1000000
 x x −
11
25
 × 1( -
9
100
) −
11
25
 ×
129
100
 x ( -
9
100
)
    The equation is reduced to :
      -
18549
1000000
 x =
819
10000
 x +
105651
1000000
 x x −
11
25
( -
9
100
) −
1419
2500
 x ( -
9
100
)
    Remove a bracket on the right of the equation:：
      -
18549
1000000
 x =
819
10000
 x +
105651
1000000
 x x +
11
25
 ×
9
100
 −
1419
2500
 x ( -
9
100
)
    The equation is reduced to :
      -
18549
1000000
 x =
819
10000
 x +
105651
1000000
 x x +
99
2500
 −
1419
2500
 x ( -
9
100
)
    Remove a bracket on the right of the equation:：
      -
18549
1000000
 x =
819
10000
 x +
105651
1000000
 x x +
99
2500
 +
1419
2500
 x ×
9
100
    The equation is reduced to :
      -
18549
1000000
 x =
819
10000
 x +
105651
1000000
 x x +
99
2500
 +
12771
250000
 x
    The equation is reduced to :
      -
18549
1000000
 x =
16623
125000
 x +
105651
1000000
 x x +
99
2500

    After the equation is converted into a general formula, there is a common factor:
    ( x +0 )
    From
        x + 0 = 0
    it is concluded that:：
        x1=0

    Solutions that cannot be obtained by factorization:
        x2≈-0.775194 , keep 6 decimal places    
    There are 2 solution(s).

解程的详细方法请参阅：《方程的解法》


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