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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 2100(1+x)+2100(1+x)(1+2x)*11+700(1+2x)*12 = 1.875*21700 .
    Question type: Equation
    Solution:Original question:
     2100(1 + x ) + 2100(1 + x )(1 + 2 x ) × 11 + 700(1 + 2 x ) × 12 =
15
8
× 21700
     Left side of the equation = 2100(1 + x ) + 23100(1 + x )(1 + 2 x ) + 8400(1 + 2 x )
    The equation is transformed into :
     2100(1 + x ) + 23100(1 + x )(1 + 2 x ) + 8400(1 + 2 x ) =
15
8
× 21700
    Remove the bracket on the left of the equation:
     Left side of the equation = 2100 × 1 + 2100 x + 23100(1 + x )(1 + 2 x ) + 8400(1 + 2 x )
                                             = 2100 + 2100 x + 23100(1 + x )(1 + 2 x ) + 8400(1 + 2 x )
                                             = 2100 + 2100 x + 23100 × 1(1 + 2 x ) + 23100 x (1 + 2 x ) + 8400(1 + 2 x )
                                             = 2100 + 2100 x + 23100(1 + 2 x ) + 23100 x (1 + 2 x ) + 8400(1 + 2 x )
                                             = 2100 + 2100 x + 23100 × 1 + 23100 × 2 x + 23100 x (1 + 2 x ) + 8400
                                             = 2100 + 2100 x + 23100 + 46200 x + 23100 x (1 + 2 x ) + 8400(1 + 2 x )
                                             = 25200 + 48300 x + 23100 x (1 + 2 x ) + 8400(1 + 2 x )
                                             = 25200 + 48300 x + 23100 x × 1 + 23100 x × 2 x + 8400(1 + 2 x )
                                             = 25200 + 48300 x + 23100 x + 46200 x x + 8400(1 + 2 x )
                                             = 25200 + 71400 x + 46200 x x + 8400(1 + 2 x )
                                             = 25200 + 71400 x + 46200 x x + 8400 × 1 + 8400 × 2 x
                                             = 25200 + 71400 x + 46200 x x + 8400 + 16800 x
                                             = 33600 + 88200 x + 46200 x x
    The equation is transformed into :
     33600 + 88200 x + 46200 x x =
15
8
× 21700
     Right side of the equation =
81375
2
    The equation is transformed into :
     33600 + 88200 x + 46200 x x =
81375
2

    The solution of the equation:
        x1≈-1.986324 , keep 6 decimal places
        x2≈0.077233 , 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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