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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 2220.3-1727x+(x-4.4)(x-4.4)(259.672+10.12x)/6 = (x-4.4)(x-4.4)(661.8132+33.627x)/6 .
    Question type: Equation
    Solution:Original question:
     
22203
10
 − 1727 x + ( x −
22
5
)( x −
22
5
)(
32459
125
 +
253
25
 x ) ÷ 6 = ( x −
22
5
)( x −
22
5
)(
1654533
2500
 +
33627
1000
 x ) ÷ 6
    Remove the bracket on the left of the equation:
     Left side of the equation =
22203
10
 − 1727 x + x ( x −
22
5
)(
32459
125
 +
253
25
 x ) ×
1
6
 −
22
5
( x −
22
5
)(
32459
125
 +
253
25
 x ) ×
1
6
                                             =
22203
10
 − 1727 x + x ( x −
22
5
)(
32459
125
 +
253
25
 x ) ×
1
6
 −
11
15
( x −
22
5
)(
32459
125
 +
253
25
 x )
                                             =
22203
10
 − 1727 x + x x (
32459
125
 +
253
25
 x ) ×
1
6
 − x ×
22
5
(
32459
125
 +
253
25
 x ) ×
1
6
 −
11
15
                                             =
22203
10
 − 1727 x + x x (
32459
125
 +
253
25
 x ) ×
1
6
 − x ×
11
15
(
32459
125
 +
253
25
 x ) −
11
15
( x −
22
5
)
                                             =
22203
10
 − 1727 x + x x ×
32459
125
 ×
1
6
 + x x ×
253
25
 x ×
1
6
                                             =
22203
10
 − 1727 x + x x ×
32459
750
 + x x ×
253
150
 x − x ×
11
15
                                             =
22203
10
 − 1727 x + x x ×
32459
750
 + x x ×
253
150
 x − x ×
11
15
                                             =
22203
10
 − 1727 x + x x ×
32459
750
 + x x ×
253
150
 x − x ×
357049
1875
                                             =
22203
10
 −
3595174
1875
 x + x x ×
32459
750
 + x x ×
253
150
 x − x ×
2783
375
                                             =
22203
10
 −
3595174
1875
 x + x x ×
32459
750
 + x x ×
253
150
 x − x ×
2783
375
                                             =
22203
10
 −
3595174
1875
 x + x x ×
32459
750
 + x x ×
253
150
 x − x ×
2783
375
                                             =
22203
10
 −
3595174
1875
 x + x x ×
32459
750
 + x x ×
253
150
 x − x ×
2783
375
                                             =
22203
10
 −
3595174
1875
 x + x x ×
32459
750
 + x x ×
253
150
 x − x ×
2783
375
                                             =
22203
10
 −
3952223
1875
 x + x x ×
32459
750
 + x x ×
253
150
 x − x ×
2783
375
                                             =
22203
10
 −
3952223
1875
 x + x x ×
32459
750
 + x x ×
253
150
 x − x ×
2783
375
                                             =
22203
10
 −
3952223
1875
 x + x x ×
32459
750
 + x x ×
253
150
 x − x ×
2783
375
                                             =
57340781
18750
 −
1296999
625
 x + x x ×
32459
750
 + x x ×
253
150
 x − x ×
2783
375
    The equation is transformed into :
     
57340781
18750
 −
1296999
625
 x + x x ×
32459
750
 + x x ×
253
150
 x − x ×
2783
375
 = ( x −
22
5
)( x −
22
5
)(
1654533
2500
 +
33627
1000
 x ) ÷ 6
    Remove the bracket on the right of the equation:
     Right side of the equation = x ( x −
22
5
)(
1654533
2500
 +
33627
1000
 x ) ×
1
6
 −
22
5
( x −
22
5
)(
1654533
2500
 +
33627
1000
 x ) ×
1
6
                                               = x ( x −
22
5
)(
1654533
2500
 +
33627
1000
 x ) ×
1
6
 −
11
15
( x −
22
5
)(
1654533
2500
 +
33627
1000
 x )
                                               = x x (
1654533
2500
 +
33627
1000
 x ) ×
1
6
 − x ×
22
5
(
1654533
2500
 +
33627
1000
 x ) ×
1
6
 −
11
15
( x −
22
5
)(
1654533
2500
 +
33627
1000
 x )
                                               = x x (
1654533
2500
 +
33627
1000
 x ) ×
1
6
 − x ×
11
15
(
1654533
2500
 +
33627
1000
 x ) −
11
15
( x −
22
5
)(
1654533
2500
 +
33627
1000
 x )
                                               = x x ×
1654533
2500
 ×
1
6
 + x x ×
33627
1000
 x ×
1
6
 − x ×
11
15
(
1654533
2500
 +
33627
1000
 x )
                                               = x x ×
551511
5000
 + x x ×
11209
2000
 x − x ×
11
15
(
1654533
2500
 +
33627
1000
 x ) −
11
15
( x −
22
5
)
                                               = x x ×
551511
5000
 + x x ×
11209
2000
 x − x ×
11
15
 ×
1654533
2500
 − x ×
11
15

    
        x≈0.744467 , keep 6 decimal places    
    There are 1 solution(s).

解一元一次方程的详细方法请参阅：《一元一次方程的解法》


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