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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 {3.14×（50+80×5.5+90x）+3.14×0.8×0.65×[387.4+25×(16.9+17.8x)]}/（9.5+x)×(5.5+x) = 3851.931+2262x .
    Question type: Equation
    Solution:Original question:
     (
157
50
(50 + 80 ×
11
2
 + 90 x ) +
157
50
 ×
4
5
 ×
13
20
(
1937
5
 + 25(
169
10
 +
89
5
 x ))) ÷ (
19
2
 + x ) × (
11
2
 + x ) =
3851931
1000
 + 2262 x
     Multiply both sides of the equation by:(
19
2
 + x )
     (
157
50
(50 + 80 ×
11
2
 + 90 x ) +
157
50
 ×
4
5
 ×
13
20
(
1937
5
 + 25(
169
10
 +
89
5
 x )))(
11
2
 + x ) =
3851931
1000
(
19
2
 + x ) + 2262 x (
19
2
 + x )
    Remove a bracket on the left of the equation:：
     
157
50
(50 + 80 ×
11
2
 + 90 x )(
11
2
 + x ) +
157
50
 ×
4
5
 ×
13
20
(
1937
5
 + 25(
169
10
 +
89
5
 x ))(
11
2
 + x ) =
3851931
1000
(
19
2
 + x ) + 2262 x (
19
2
 + x )
    Remove a bracket on the right of the equation:：
     
157
50
(50 + 80 ×
11
2
 + 90 x )(
11
2
 + x ) +
157
50
 ×
4
5
 ×
13
20
(
1937
5
 + 25(
169
10
 +
89
5
 x ))(
11
2
 + x ) =
3851931
1000
 ×
19
2
 +
3851931
1000
 x + 2262 x (
19
2
 + x )
    The equation is reduced to :
     
157
50
(50 + 80 ×
11
2
 + 90 x )(
11
2
 + x ) +
2041
1250
(
1937
5
 + 25(
169
10
 +
89
5
 x ))(
11
2
 + x ) =
73186689
2000
 +
3851931
1000
 x + 2262 x (
19
2
 + x )
    Remove a bracket on the left of the equation:
     
157
50
 × 50(
11
2
 + x ) +
157
50
 × 80 ×
11
2
(
11
2
 + x ) +
157
50
 × 90 x (
11
2
 + x ) +
2041
1250
 =
73186689
2000
 +
3851931
1000
 x + 2262 x (
19
2
 + x )
    Remove a bracket on the right of the equation:：
     
157
50
 × 50(
11
2
 + x ) +
157
50
 × 80 ×
11
2
(
11
2
 + x ) +
157
50
 × 90 x (
11
2
 + x ) +
2041
1250
 =
73186689
2000
 +
3851931
1000
 x + 2262 x ×
19
2
 + 2262 x x
    The equation is reduced to :
     157(
11
2
 + x ) +
6908
5
(
11
2
 + x ) +
1413
5
 x (
11
2
 + x ) +
2041
1250
(
1937
5
 + 25(
169
10
 +
89
5
 x ))(
11
2
 + x ) =
73186689
2000
 +
3851931
1000
 x + 21489 x + 2262 x x
    The equation is reduced to :
     157(
11
2
 + x ) +
6908
5
(
11
2
 + x ) +
1413
5
 x (
11
2
 + x ) +
2041
1250
(
1937
5
 + 25(
169
10
 +
89
5
 x ))(
11
2
 + x ) =
73186689
2000
 +
25340931
1000
 x + 2262 x x
    Remove a bracket on the left of the equation:
     157 ×
11
2
 + 157 x +
6908
5
(
11
2
 + x ) +
1413
5
 x (
11
2
 + x ) +
2041
1250
(
1937
5
 + 25(
169
10
 +
89
5
 x ))(
11
2
 + x ) =
73186689
2000
 +
25340931
1000
 x + 2262 x x
    The equation is reduced to :
     
1727
2
 + 157 x +
6908
5
(
11
2
 + x ) +
1413
5
 x (
11
2
 + x ) +
2041
1250
(
1937
5
 + 25(
169
10
 +
89
5
 x ))(
11
2
 + x ) =
73186689
2000
 +
25340931
1000
 x + 2262 x x
    Remove a bracket on the left of the equation:
     
1727
2
 + 157 x +
6908
5
 ×
11
2
 +
6908
5
 x +
1413
5
 x (
11
2
 + x ) +
2041
1250
(
1937
5
 + 25(
169
10
 +
89
5
 x )) =
73186689
2000
 +
25340931
1000
 x + 2262 x x
    The equation is reduced to :
     
1727
2
 + 157 x +
37994
5
 +
6908
5
 x +
1413
5
 x (
11
2
 + x ) +
2041
1250
(
1937
5
 + 25(
169
10
 +
89
5
 x ))(
11
2
 + x ) =
73186689
2000
 +
25340931
1000
 x + 2262 x x
    The equation is reduced to :
     
84623
10
 +
7693
5
 x +
1413
5
 x (
11
2
 + x ) +
2041
1250
(
1937
5
 + 25(
169
10
 +
89
5
 x ))(
11
2
 + x ) =
73186689
2000
 +
25340931
1000
 x + 2262 x x
    Remove a bracket on the left of the equation:
     
84623
10
 +
7693
5
 x +
1413
5
 x ×
11
2
 +
1413
5
 x x +
2041
1250
(
1937
5
 + 25(
169
10
 +
89
5
 x ))(
11
2
 + x ) =
73186689
2000
 +
25340931
1000
 x + 2262 x x
    The equation is reduced to :
     
84623
10
 +
7693
5
 x +
15543
10
 x +
1413
5
 x x +
2041
1250
(
1937
5
 + 25(
169
10
 +
89
5
 x ))(
11
2
 + x ) =
73186689
2000
 +
25340931
1000
 x + 2262 x x
    The equation is reduced to :
     
84623
10
 +
30929
10
 x +
1413
5
 x x +
2041
1250
(
1937
5
 + 25(
169
10
 +
89
5
 x ))(
11
2
 + x ) =
73186689
2000
 +
25340931
1000
 x + 2262 x x
    Remove a bracket on the left of the equation:
     
84623
10
 +
30929
10
 x +
1413
5
 x x +
2041
1250
 ×
1937
5
(
11
2
 + x ) +
2041
1250
 × 25(
169
10
 +
89
5
 x ) =
73186689
2000
 +
25340931
1000
 x + 2262 x x
    The equation is reduced to :
     
84623
10
 +
30929
10
 x +
1413
5
 x x +
3953417
6250
(
11
2
 + x ) +
2041
50
(
169
10
 +
89
5
 x )(
11
2
 + x ) =
73186689
2000
 +
25340931
1000
 x + 2262 x x
    Remove a bracket on the left of the equation:
     
84623
10
 +
30929
10
 x +
1413
5
 x x +
3953417
6250
 ×
11
2
 +
3953417
6250
 x +
2041
50
(
169
10
 +
89
5
 x ) =
73186689
2000
 +
25340931
1000
 x + 2262 x x
    The equation is reduced to :
     
84623
10
 +
30929
10
 x +
1413
5
 x x +
43487587
12500
 +
3953417
6250
 x +
2041
50
(
169
10
 +
89
5
 x )(
11
2
 + x ) =
73186689
2000
 +
25340931
1000
 x + 2262 x x
    The equation is reduced to :
     
149266337
12500
 +
11642021
3125
 x +
1413
5
 x x +
2041
50
(
169
10
 +
89
5
 x )(
11
2
 + x ) =
73186689
2000
 +
25340931
1000
 x + 2262 x x
    Remove a bracket on the left of the equation:
     
149266337
12500
 +
11642021
3125
 x +
1413
5
 x x +
2041
50
 ×
169
10
(
11
2
 + x ) +
2041
50
 ×
89
5
 x =
73186689
2000
 +
25340931
1000
 x + 2262 x x
    The equation is reduced to :
     
149266337
12500
 +
11642021
3125
 x +
1413
5
 x x +
344929
500
(
11
2
 + x ) +
181649
250
 x (
11
2
 + x ) =
73186689
2000
 +
25340931
1000
 x + 2262 x x
    Remove a bracket on the left of the equation:
     
149266337
12500
 +
11642021
3125
 x +
1413
5
 x x +
344929
500
 ×
11
2
 +
344929
500
 x +
181649
250
 x =
73186689
2000
 +
25340931
1000
 x + 2262 x x

    The solution of the equation:
        x1≈-12.141980 , keep 6 decimal places
        x2≈-1.371186 , 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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