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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 (30-x)/140000 = 0.5*2.3*2*(-x+1.5)(1+x/50) .
    Question type: Equation
    Solution:Original question:
     (30 x ) ÷ 140000 =
1
2
×
23
10
× 2( - x +
3
2
)(1 + x ÷ 50)
    Remove the bracket on the left of the equation:
     Left side of the equation = 30 ×
1
140000
x ×
1
140000
                                             =
3
14000
x ×
1
140000
    The equation is transformed into :
     
3
14000
1
140000
x =
1
2
×
23
10
× 2( - x +
3
2
)(1 + x ÷ 50)
     Right side of the equation =
23
10
( - x +
3
2
)(1 + x ÷ 50)
    The equation is transformed into :
     
3
14000
1
140000
x =
23
10
( - x +
3
2
)(1 + x ÷ 50)
    Remove the bracket on the right of the equation:
     Right side of the equation = -
23
10
x (1 + x ÷ 50) +
23
10
×
3
2
(1 + x ÷ 50)
                                               = -
23
10
x (1 + x ÷ 50) +
69
20
(1 + x ÷ 50)
                                               = -
23
10
x × 1
23
10
x x ÷ 50 +
69
20
(1 + x ÷ 50)
                                               = -
23
10
x
23
500
x x +
69
20
(1 + x ÷ 50)
                                               = -
23
10
x
23
500
x x +
69
20
× 1 +
69
20
x ÷ 50
                                               = -
23
10
x
23
500
x x +
69
20
+
69
1000
x
                                               = -
2231
1000
x
23
500
x x +
69
20
    The equation is transformed into :
     
3
14000
1
140000
x = -
2231
1000
x
23
500
x x +
69
20

    The solution of the equation:
        x1≈-49.999759 , keep 6 decimal places
        x2≈1.499914 , 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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