Mathematics
         
语言:中文    Language:English
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 1567.293+27.143x = 1/2*3.77*(20*2.6+50*3.8+240x)+1.13*0.90*0.65*(550+2.5*(107.86+20.1x)*(5+x)/(6.4+x)) .
    Question type: Equation
    Solution:Original question:
     
1567293
1000
+
27143
1000
x = 1 ÷ 2 ×
377
100
(20 ×
13
5
+ 50 ×
19
5
+ 240 x ) +
113
100
×
9
10
×
13
20
(550 +
5
2
(
5393
50
+
201
10
x )(5 + x ) ÷ (
32
5
+ x ))
    Remove a bracket on the right of the equation::
     
1567293
1000
+
27143
1000
x = 1 ÷ 2 ×
377
100
× 20 ×
13
5
+ 1 ÷ 2 ×
377
100
× 50 ×
19
5
+ 1 ÷ 2
    The equation is reduced to :
     
1567293
1000
+
27143
1000
x =
4901
50
+
7163
20
+
2262
5
x +
13221
20000
(550 +
5
2
(
5393
50
+
201
10
x )(5 + x ) ÷ (
32
5
+ x ))
    The equation is reduced to :
     
1567293
1000
+
27143
1000
x =
45617
100
+
2262
5
x +
13221
20000
(550 +
5
2
(
5393
50
+
201
10
x )(5 + x ) ÷ (
32
5
+ x ))
    Remove a bracket on the right of the equation::
     
1567293
1000
+
27143
1000
x =
45617
100
+
2262
5
x +
13221
20000
× 550 +
13221
20000
×
5
2
(
5393
50
+
201
10
x )(5 + x ) ÷ (
32
5
+ x )
    The equation is reduced to :
     
1567293
1000
+
27143
1000
x =
45617
100
+
2262
5
x +
145431
400
+
13221
8000
(
5393
50
+
201
10
x )(5 + x ) ÷ (
32
5
+ x )
    The equation is reduced to :
     
1567293
1000
+
27143
1000
x =
327899
400
+
2262
5
x +
13221
8000
(
5393
50
+
201
10
x )(5 + x ) ÷ (
32
5
+ x )
     Multiply both sides of the equation by:(
32
5
+ x )
     
1567293
1000
(
32
5
+ x ) +
27143
1000
x (
32
5
+ x ) =
327899
400
(
32
5
+ x ) +
2262
5
x (
32
5
+ x ) +
13221
8000
(
5393
50
+
201
10
x )(5 + x )
    Remove a bracket on the left of the equation:
     
1567293
1000
×
32
5
+
1567293
1000
x +
27143
1000
x (
32
5
+ x ) =
327899
400
(
32
5
+ x ) +
2262
5
x (
32
5
+ x ) +
13221
8000
(
5393
50
+
201
10
x )(5 + x )
    Remove a bracket on the right of the equation::
     
1567293
1000
×
32
5
+
1567293
1000
x +
27143
1000
x (
32
5
+ x ) =
327899
400
×
32
5
+
327899
400
x +
2262
5
x (
32
5
+ x ) +
13221
8000
(
5393
50
+
201
10
x )(5 + x )
    The equation is reduced to :
     
6269172
625
+
1567293
1000
x +
27143
1000
x (
32
5
+ x ) =
655798
125
+
327899
400
x +
2262
5
x (
32
5
+ x ) +
13221
8000
(
5393
50
+
201
10
x )(5 + x )
    Remove a bracket on the left of the equation:
     
6269172
625
+
1567293
1000
x +
27143
1000
x ×
32
5
+
27143
1000
x x =
655798
125
+
327899
400
x +
2262
5
x (
32
5
+ x ) +
13221
8000
(
5393
50
+
201
10
x )(5 + x )
    Remove a bracket on the right of the equation::
     
6269172
625
+
1567293
1000
x +
27143
1000
x ×
32
5
+
27143
1000
x x =
655798
125
+
327899
400
x +
2262
5
x ×
32
5
+
2262
5
x x +
13221
8000
(
5393
50
+
201
10
x )(5 + x )
    The equation is reduced to :
     
6269172
625
+
1567293
1000
x +
108572
625
x +
27143
1000
x x =
655798
125
+
327899
400
x +
72384
25
x +
2262
5
x x +
13221
8000
(
5393
50
+
201
10
x )(5 + x )
    The equation is reduced to :
     
6269172
625
+
8705041
5000
x +
27143
1000
x x =
655798
125
+
1486043
400
x +
2262
5
x x +
13221
8000
(
5393
50
+
201
10
x )(5 + x )
    Remove a bracket on the right of the equation::
     
6269172
625
+
8705041
5000
x +
27143
1000
x x =
655798
125
+
1486043
400
x +
2262
5
x x +
13221
8000
×
5393
50
(5 + x ) +
13221
8000
×
201
10
x
    The equation is reduced to :
     
6269172
625
+
8705041
5000
x +
27143
1000
x x =
655798
125
+
1486043
400
x +
2262
5
x x +
71300853
400000
(5 + x ) +
2657421
80000
x (5 + x )
    Remove a bracket on the right of the equation::
     
6269172
625
+
8705041
5000
x +
27143
1000
x x =
655798
125
+
1486043
400
x +
2262
5
x x +
71300853
400000
× 5 +
71300853
400000
x +
2657421
80000
x
    The equation is reduced to :
     
6269172
625
+
8705041
5000
x +
27143
1000
x x =
655798
125
+
1486043
400
x +
2262
5
x x +
71300853
80000
+
71300853
400000
x +
2657421
80000
x (5 + x )

    
        x≈1.329579 , 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》



Your problem has not been solved here? Please go to the Hot Problems section!





  New addition:Lenders ToolBox module(Specific location:Math OP > Lenders ToolBox ),welcome。