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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 1200+0.5x = 615.9+18.96*(x-45)/2.96796-3.4*(x-45)(x-45)/(2*2.96796) .
    Question type: Equation
    Solution:Original question:
     1200 +
1
2
 x =
6159
10
 +
474
25
( x − 45) ÷
74199
25000
 −
17
5
( x − 45)( x − 45) ÷ (2 ×
74199
25000
)
     Multiply both sides of the equation by:(2 ×
74199
25000
)
     1200(2 ×
74199
25000
) +
1
2
 x (2 ×
74199
25000
) =
6159
10
(2 ×
74199
25000
) +
474
25
( x − 45) ÷
74199
25000
 × (2 ×
74199
25000
) −
17
5
( x − 45)( x − 45)
    Remove a bracket on the left of the equation:：
     1200 × 2 ×
74199
25000
 +
1
2
 x (2 ×
74199
25000
) =
6159
10
(2 ×
74199
25000
) +
474
25
( x − 45) ÷
74199
25000
 × (2 ×
74199
25000
) −
17
5
( x − 45)( x − 45)
    Remove a bracket on the right of the equation:：
     1200 × 2 ×
74199
25000
 +
1
2
 x (2 ×
74199
25000
) =
6159
10
 × 2 ×
74199
25000
 +
474
25
( x − 45) ÷
74199
25000
 × (2 ×
74199
25000
) −
17
5
( x − 45)( x − 45)
    The equation is reduced to :
     
890388
125
 +
1
2
 x (2 ×
74199
25000
) =
456991641
125000
 +
158000
24733
( x − 45)(2 ×
74199
25000
) −
17
5
( x − 45)( x − 45)
    Remove a bracket on the left of the equation:
     
890388
125
 +
1
2
 x × 2 ×
74199
25000
 =
456991641
125000
 +
158000
24733
( x − 45)(2 ×
74199
25000
) −
17
5
( x − 45)( x − 45)
    Remove a bracket on the right of the equation:：
     
890388
125
 +
1
2
 x × 2 ×
74199
25000
 =
456991641
125000
 +
158000
24733
 x (2 ×
74199
25000
) −
158000
24733
 × 45(2 ×
74199
25000
) −
17
5
( x − 45)( x − 45)
    The equation is reduced to :
     
890388
125
 +
74199
25000
 x =
456991641
125000
 +
158000
24733
 x (2 ×
74199
25000
) −
7110000
24733
(2 ×
74199
25000
) −
17
5
( x − 45)( x − 45)
    Remove a bracket on the right of the equation:：
     
890388
125
 +
74199
25000
 x =
456991641
125000
 +
158000
24733
 x × 2 ×
74199
25000
 −
7110000
24733
(2 ×
74199
25000
) −
17
5
( x − 45)( x − 45)

    
        x≈-43.063309 , 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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