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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 （z-0.414*0.082）*（z+2.414*0.082）*（1.082-z）/0.082/9.46 = 0 .
    Question type: Equation
    Solution:Original question:
     ( z −
207
500
 ×
41
500
)( z +
1207
500
 ×
41
500
)(
541
500
 − z ) ÷
41
500
 ÷
473
50
 = 0
     Left side of the equation = ( z −
207
500
 ×
41
500
)( z +
1207
500
 ×
41
500
)(
541
500
 − z ) ×
25000
19393
    The equation is transformed into :
     ( z −
207
500
 ×
41
500
)( z +
1207
500
 ×
41
500
)(
541
500
 − z ) ×
25000
19393
 = 0
    Remove the bracket on the left of the equation:
     Left side of the equation = z ( z +
1207
500
 ×
41
500
)(
541
500
 − z ) ×
25000
19393
 −
207
500
 ×
41
500
( z +
1207
500
 ×
41
500
)(
541
500
 − z ) ×
25000
19393
                                             = z ( z +
1207
500
 ×
41
500
)(
541
500
 − z ) ×
25000
19393
 −
207
4730
( z +
1207
500
 ×
41
500
)(
541
500
 − z )
                                             = z z (
541
500
 − z ) ×
25000
19393
 + z ×
1207
500
 ×
41
500
(
541
500
 − z ) ×
25000
19393
 −
207
4730
( z +
1207
500
 ×
41
500
)(
541
500
 − z )
                                             = z z (
541
500
 − z ) ×
25000
19393
 + z ×
1207
4730
(
541
500
 − z ) −
207
4730
( z +
1207
500
 ×
41
500
)(
541
500
 − z )
                                             = z z ×
541
500
 ×
25000
19393
 − z z z ×
25000
19393
 + z ×
1207
4730
(
541
500
 − z ) −
207
4730
                                             = z z ×
27050
19393
 − z z z ×
25000
19393
 + z ×
1207
4730
(
541
500
 − z ) −
207
4730
( z +
1207
500
 ×
41
500
)
                                             = z z ×
27050
19393
 − z z z ×
25000
19393
 + z ×
1207
4730
 ×
541
500
 − z ×
1207
4730
                                             = z z ×
27050
19393
 − z z z ×
25000
19393
 + z ×
652987
2365000
 − z ×
1207
4730
 z
                                             = z z ×
27050
19393
 − z z z ×
25000
19393
 +
652987
2365000
 z − z ×
1207
4730
 z
                                             = z z ×
27050
19393
 − z z z ×
25000
19393
 +
652987
2365000
 z − z ×
1207
4730
 z
                                             = z z ×
27050
19393
 − z z z ×
25000
19393
 +
652987
2365000
 z − z ×
1207
4730
 z
                                             = z z ×
27050
19393
 − z z z ×
25000
19393
 +
652987
2365000
 z − z ×
1207
4730
 z
                                             = z z ×
27050
19393
 − z z z ×
25000
19393
 +
541
2365
 z − z ×
1207
4730
 z
                                             = z z ×
27050
19393
 − z z z ×
25000
19393
 +
541
2365
 z − z ×
1207
4730
 z

    After the equation is converted into a general formula, it is converted into:
    ( 250000z + 49487 )( 250000z - 8487 )( 500z - 541 )=0
    From
        250000z + 49487 = 0
        250000z - 8487 = 0
        500z - 541 = 0
    it is concluded that:：
        z1=-
49487
250000
        z2=
8487
250000
        z3=
541
500
    
    There are 3 solution(s).

解程的详细方法请参阅：《方程的解法》


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