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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 335*(1964*3285-1964*116.5) = 18.5*1000*x*(328.5-497.5+0.5*x) .
    Question type: Equation
    Solution:Original question:
     335(1964 × 32851964 ×
233
2
) =
37
2
× 1000 x (
657
2
995
2
+
1
2
x )
    Remove the bracket on the left of the equation:
     Left side of the equation = 335 × 1964 × 3285335 × 1964 ×
233
2
                                             = 216133290076650010
                                             = 2084682890
    The equation is transformed into :
     2084682890 =
37
2
× 1000 x (
657
2
995
2
+
1
2
x )
     Right side of the equation = 18500 x (
657
2
995
2
+
1
2
x )
    The equation is transformed into :
     2084682890 = 18500 x (
657
2
995
2
+
1
2
x )
    Remove the bracket on the right of the equation:
     Right side of the equation = 18500 x ×
657
2
18500 x ×
995
2
+ 18500 x ×
1
2
x
                                               = 6077250 x 9203750 x + 9250 x x
                                               = - 3126500 x + 9250 x x
    The equation is transformed into :
     2084682890 = - 3126500 x + 9250 x x

    
        x≈-334.916782 , 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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