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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+1.5*x)*x = 2.4*(2.8125-x)*(2.39+(2.8125-x)*1.5) .
    Question type: Equation
    Solution:Original question:
     (2 +
3
2
x ) x =
12
5
(
45
16
x )(
239
100
+ (
45
16
x ) ×
3
2
)
    Remove the bracket on the left of the equation:
     Left side of the equation = 2 x +
3
2
x x
    The equation is transformed into :
     2 x +
3
2
x x =
12
5
(
45
16
x )(
239
100
+ (
45
16
x ) ×
3
2
)
    Remove the bracket on the right of the equation:
     Right side of the equation =
12
5
×
45
16
(
239
100
+ (
45
16
x ) ×
3
2
)
12
5
x (
239
100
+ (
45
16
x ) ×
3
2
)
                                               =
27
4
(
239
100
+ (
45
16
x ) ×
3
2
)
12
5
x (
239
100
+ (
45
16
x ) ×
3
2
)
                                               =
27
4
×
239
100
+
27
4
(
45
16
x ) ×
3
2
12
5
x (
239
100
+ (
45
16
x ) ×
3
2
)
                                               =
6453
400
+
81
8
(
45
16
x )
12
5
x (
239
100
+ (
45
16
x ) ×
3
2
)
                                               =
6453
400
+
81
8
×
45
16
81
8
x
12
5
x (
239
100
+ (
45
16
x ) ×
3
2
)
                                               =
6453
400
+
3645
128
81
8
x
12
5
x (
239
100
+ (
45
16
x ) ×
3
2
)
                                               =
142749
3200
81
8
x
12
5
x (
239
100
+ (
45
16
x ) ×
3
2
)
                                               =
142749
3200
81
8
x
12
5
x ×
239
100
12
5
x (
45
16
x ) ×
3
2
                                               =
142749
3200
81
8
x
717
125
x
18
5
x (
45
16
x )
                                               =
142749
3200
15861
1000
x
18
5
x (
45
16
x )
                                               =
142749
3200
15861
1000
x
18
5
x ×
45
16
+
18
5
x x
                                               =
142749
3200
15861
1000
x
81
8
x +
18
5
x x
                                               =
142749
3200
12993
500
x +
18
5
x x
    The equation is transformed into :
     2 x +
3
2
x x =
142749
3200
12993
500
x +
18
5
x x

    The solution of the equation:
        x1≈1.851099 , keep 6 decimal places
        x2≈11.475568 , 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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