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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 0.82t*t+5.23t = 1.65(10+t)(10+t)+1.35(10+t)(10+t)(10+t) .
    Question type: Equation
    Solution:Original question:
     
41
50
 t t +
523
100
 t =
33
20
(10 + t )(10 + t ) +
27
20
(10 + t )(10 + t )(10 + t )
    Remove the bracket on the right of the equation:
     Right side of the equation =
33
20
 × 10(10 + t ) +
33
20
 t (10 + t ) +
27
20
(10 + t )(10 + t )(10 + t )
                                               =
33
2
(10 + t ) +
33
20
 t (10 + t ) +
27
20
(10 + t )(10 + t )(10 + t )
                                               =
33
2
 × 10 +
33
2
 t +
33
20
 t (10 + t ) +
27
20
(10 + t )(10 + t )(10 + t )
                                               = 165 +
33
2
 t +
33
20
 t (10 + t ) +
27
20
(10 + t )(10 + t )(10 + t )
                                               = 165 +
33
2
 t +
33
20
 t × 10 +
33
20
 t t +
27
20
(10 + t )(10 + t )
                                               = 165 +
33
2
 t +
33
2
 t +
33
20
 t t +
27
20
(10 + t )(10 + t )(10 + t )
                                               = 165 + 33 t +
33
20
 t t +
27
20
(10 + t )(10 + t )(10 + t )
                                               = 165 + 33 t +
33
20
 t t +
27
20
 × 10(10 + t )(10 + t ) +
27
20
 t
                                               = 165 + 33 t +
33
20
 t t +
27
2
(10 + t )(10 + t ) +
27
20
 t (10 + t )
                                               = 165 + 33 t +
33
20
 t t +
27
2
 × 10(10 + t ) +
27
2
 t (10 + t )
                                               = 165 + 33 t +
33
20
 t t + 135(10 + t ) +
27
2
 t (10 + t ) +
27
20
                                               = 165 + 33 t +
33
20
 t t + 135 × 10 + 135 t +
27
2
 t
                                               = 165 + 33 t +
33
20
 t t + 1350 + 135 t +
27
2
 t (10 + t )
                                               = 1515 + 168 t +
33
20
 t t +
27
2
 t (10 + t ) +
27
20
 t (10 + t )
                                               = 1515 + 168 t +
33
20
 t t +
27
2
 t × 10 +
27
2
 t t
                                               = 1515 + 168 t +
33
20
 t t + 135 t +
27
2
 t t +
27
20
                                               = 1515 + 303 t +
33
20
 t t +
27
2
 t t +
27
20
 t (10 + t )
                                               = 1515 + 303 t +
33
20
 t t +
27
2
 t t +
27
20
 t × 10
                                               = 1515 + 303 t +
33
20
 t t +
27
2
 t t +
27
2
 t (10 + t )
                                               = 1515 + 303 t +
33
20
 t t +
27
2
 t t +
27
2
 t × 10
                                               = 1515 + 303 t +
33
20
 t t +
27
2
 t t + 135 t +
27
2
                                               = 1515 + 438 t +
33
20
 t t +
27
2
 t t +
27
2
 t t
                                               = 1515 + 438 t +
33
20
 t t +
27
2
 t t +
27
2
 t t
                                               = 1515 + 438 t +
33
20
 t t +
27
2
 t t +
27
2
 t t
    The equation is transformed into :
     
41
50
 t t +
523
100
 t = 1515 + 438 t +
33
20
 t t +
27
2
 t t +
27
2
 t t
    The equation can be reduced to :
     
41
50
 t t +
523
100
 t = 1515 + 438 t +
33
20
 t t +
27
2
 t t +
27
2
 t t

    the solutions is:
        t≈-8.235879 , keep 6 decimal places    
    There are 1 solution(s).

解方程的详细方法请参阅：《方程的解法》


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