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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 1770.391+300.14x+(x-3)(x-3)(273.84+10.12x)/6 = (x-3)(x-3)(561.384+33.627x)/6 .
    Question type: Equation
    Solution:Original question:
     
1770391
1000
 +
15007
50
 x + ( x − 3)( x − 3)(
6846
25
 +
253
25
 x ) ÷ 6 = ( x − 3)( x − 3)(
70173
125
 +
33627
1000
 x ) ÷ 6
    Remove the bracket on the left of the equation:
     Left side of the equation =
1770391
1000
 +
15007
50
 x + x ( x − 3)(
6846
25
 +
253
25
 x ) ×
1
6
 − 3( x − 3)(
6846
25
 +
253
25
 x ) ×
1
6
                                             =
1770391
1000
 +
15007
50
 x + x ( x − 3)(
6846
25
 +
253
25
 x ) ×
1
6
 −
1
2
( x − 3)(
6846
25
 +
253
25
 x )
                                             =
1770391
1000
 +
15007
50
 x + x x (
6846
25
 +
253
25
 x ) ×
1
6
 − x × 3(
6846
25
 +
253
25
 x ) ×
1
6
 −
1
2
                                             =
1770391
1000
 +
15007
50
 x + x x (
6846
25
 +
253
25
 x ) ×
1
6
 − x ×
1
2
(
6846
25
 +
253
25
 x ) −
1
2
( x − 3)
                                             =
1770391
1000
 +
15007
50
 x + x x ×
6846
25
 ×
1
6
 + x x ×
253
25
 x ×
1
6
                                             =
1770391
1000
 +
15007
50
 x + x x ×
1141
25
 + x x ×
253
150
 x − x ×
1
2
                                             =
1770391
1000
 +
15007
50
 x + x x ×
1141
25
 + x x ×
253
150
 x − x ×
1
2
                                             =
1770391
1000
 +
15007
50
 x + x x ×
1141
25
 + x x ×
253
150
 x − x ×
3423
25
                                             =
1770391
1000
 +
8161
50
 x + x x ×
1141
25
 + x x ×
253
150
 x − x ×
253
50
                                             =
1770391
1000
 +
8161
50
 x + x x ×
1141
25
 + x x ×
253
150
 x − x ×
253
50
                                             =
1770391
1000
 +
8161
50
 x + x x ×
1141
25
 + x x ×
253
150
 x − x ×
253
50
                                             =
1770391
1000
 +
8161
50
 x + x x ×
1141
25
 + x x ×
253
150
 x − x ×
253
50
                                             =
1770391
1000
 +
8161
50
 x + x x ×
1141
25
 + x x ×
253
150
 x − x ×
253
50
                                             =
1770391
1000
 +
263
10
 x + x x ×
1141
25
 + x x ×
253
150
 x − x ×
253
50
                                             =
1770391
1000
 +
263
10
 x + x x ×
1141
25
 + x x ×
253
150
 x − x ×
253
50
                                             =
1770391
1000
 +
263
10
 x + x x ×
1141
25
 + x x ×
253
150
 x − x ×
253
50
                                             =
2181151
1000
 +
1037
25
 x + x x ×
1141
25
 + x x ×
253
150
 x − x ×
253
50
    The equation is transformed into :
     
2181151
1000
 +
1037
25
 x + x x ×
1141
25
 + x x ×
253
150
 x − x ×
253
50
 = ( x − 3)( x − 3)(
70173
125
 +
33627
1000
 x ) ÷ 6
    Remove the bracket on the right of the equation:
     Right side of the equation = x ( x − 3)(
70173
125
 +
33627
1000
 x ) ×
1
6
 − 3( x − 3)(
70173
125
 +
33627
1000
 x ) ×
1
6
                                               = x ( x − 3)(
70173
125
 +
33627
1000
 x ) ×
1
6
 −
1
2
( x − 3)(
70173
125
 +
33627
1000
 x )
                                               = x x (
70173
125
 +
33627
1000
 x ) ×
1
6
 − x × 3(
70173
125
 +
33627
1000
 x ) ×
1
6
 −
1
2
( x − 3)(
70173
125
 +
33627
1000
 x )
                                               = x x (
70173
125
 +
33627
1000
 x ) ×
1
6
 − x ×
1
2
(
70173
125
 +
33627
1000
 x ) −
1
2
( x − 3)(
70173
125
 +
33627
1000
 x )
                                               = x x ×
70173
125
 ×
1
6
 + x x ×
33627
1000
 x ×
1
6
 − x ×
1
2
(
70173
125
 +
33627
1000
 x )
                                               = x x ×
23391
250
 + x x ×
11209
2000
 x − x ×
1
2
(
70173
125
 +
33627
1000
 x ) −
1
2
( x − 3)
                                               = x x ×
23391
250
 + x x ×
11209
2000
 x − x ×
1
2
 ×
70173
125
 − x ×
1
2

    The solution of the equation:
        x1≈-14.383331 , keep 6 decimal places
        x2≈-2.278433 , keep 6 decimal places
        x3≈10.429493 , keep 6 decimal places    
    There are 3 solution(s).

解程的详细方法请参阅：《方程的解法》


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