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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 (0.341+0.249×10-3×(1000+t2)/2)×(1000-t2)/0.23 = 792 .
    Question type: Equation
    Solution:Original question:
     (
341
1000
 +
249
1000
 × 10 − 3(1000 + t × 2) ÷ 2)(1000 − t × 2) ÷
23
100
 = 792
    Remove the bracket on the left of the equation:
     Left side of the equation =
341
1000
(1000 − t × 2) ×
100
23
 +
249
1000
 × 10(1000 − t × 2) ×
100
23
 − 3(1000 + t × 2) ÷ 2 × (1000 − t × 2) ×
100
23
                                             =
341
230
(1000 − t × 2) +
249
23
(1000 − t × 2) −
150
23
(1000 + t × 2)(1000 − t × 2)
                                             =
341
230
 × 1000 −
341
230
 t × 2 +
249
23
(1000 − t × 2) −
150
23
(1000 + t × 2)(1000 − t × 2)
                                             =
34100
23
 −
341
115
 t +
249
23
(1000 − t × 2) −
150
23
(1000 + t × 2)(1000 − t × 2)
                                             =
34100
23
 −
341
115
 t +
249
23
 × 1000 −
249
23
 t × 2 −
150
23
(1000 + t × 2)(1000 − t × 2)
                                             =
34100
23
 −
341
115
 t +
249000
23
 −
498
23
 t −
150
23
(1000 + t × 2)(1000 − t × 2)
                                             =
283100
23
 −
2831
115
 t −
150
23
(1000 + t × 2)(1000 − t × 2)
                                             =
283100
23
 −
2831
115
 t −
150
23
 × 1000(1000 − t × 2) −
150
23
 t × 2(1000 − t × 2)
                                             =
283100
23
 −
2831
115
 t −
150000
23
(1000 − t × 2) −
300
23
 t (1000 − t × 2)
                                             =
283100
23
 −
2831
115
 t −
150000
23
 × 1000 +
150000
23
 t × 2 −
300
23
 t (1000 − t × 2)
                                             =
283100
23
 −
2831
115
 t −
150000000
23
 +
300000
23
 t −
300
23
 t (1000 − t × 2)
                                             = -
149716900
23
 +
1497169
115
 t −
300
23
 t (1000 − t × 2)
                                             = -
149716900
23
 +
1497169
115
 t −
300
23
 t × 1000 +
300
23
 t t × 2
                                             = -
149716900
23
 +
1497169
115
 t −
300000
23
 t +
600
23
 t t
                                             = -
149716900
23
 −
2831
115
 t +
600
23
 t t
    The equation is transformed into :
      -
149716900
23
 −
2831
115
 t +
600
23
 t t = 792

    
        t≈-499.086721 , keep 6 decimal places    
    There are 1 solution(s).

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