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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 (3.213x+606.2)(x+1630) = (2.78x+639.4)(x+1400) .
    Question type: Equation
    Solution:Original question:
     (
3213
1000
x +
3031
5
)( x + 1630) = (
139
50
x +
3197
5
)( x + 1400)
    Remove the bracket on the left of the equation:
     Left side of the equation =
3213
1000
x ( x + 1630) +
3031
5
( x + 1630)
                                             =
3213
1000
x x +
3213
1000
x × 1630 +
3031
5
( x + 1630)
                                             =
3213
1000
x x +
523719
100
x +
3031
5
( x + 1630)
                                             =
3213
1000
x x +
523719
100
x +
3031
5
x +
3031
5
× 1630
                                             =
3213
1000
x x +
523719
100
x +
3031
5
x + 988106
                                             =
3213
1000
x x +
584339
100
x + 988106
    The equation is transformed into :
     
3213
1000
x x +
584339
100
x + 988106 = (
139
50
x +
3197
5
)( x + 1400)
    Remove the bracket on the right of the equation:
     Right side of the equation =
139
50
x ( x + 1400) +
3197
5
( x + 1400)
                                               =
139
50
x x +
139
50
x × 1400 +
3197
5
( x + 1400)
                                               =
139
50
x x + 3892 x +
3197
5
( x + 1400)
                                               =
139
50
x x + 3892 x +
3197
5
x +
3197
5
× 1400
                                               =
139
50
x x + 3892 x +
3197
5
x + 895160
                                               =
139
50
x x +
22657
5
x + 895160
    The equation is transformed into :
     
3213
1000
x x +
584339
100
x + 988106 =
139
50
x x +
22657
5
x + 895160

    
        x≈-72.582200 , 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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