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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 = 1.0285-7.5*0.0285*(z-0.0285)/(z+2.414*0.0285/(z-0.414*0.0285) ) .
    Question type: Equation
    Solution:Original question:
      z =
2057
2000
 −
15
2
 ×
57
2000
( z −
57
2000
) ÷ ( z +
1207
500
 ×
57
2000
 ÷ ( z −
207
500
 ×
57
2000
))
     Multiply both sides of the equation by:( z +
1207
500
 ×
57
2000
 ÷ ( z −
207
500
 ×
57
2000
))
      z ( z +
1207
500
 ×
57
2000
 ÷ ( z −
207
500
 ×
57
2000
)) =
2057
2000
( z +
1207
500
 ×
57
2000
 ÷ ( z −
207
500
 ×
57
2000
)) −
15
2
 ×
57
2000
( z −
57
2000
)
    Remove a bracket on the left of the equation:：
      z z + z ×
1207
500
 ×
57
2000
 ÷ ( z −
207
500
 ×
57
2000
) =
2057
2000
( z +
1207
500
 ×
57
2000
 ÷ ( z −
207
500
 ×
57
2000
)) −
15
2
 ×
57
2000
( z −
57
2000
)
    Remove a bracket on the right of the equation:：
      z z + z ×
1207
500
 ×
57
2000
 ÷ ( z −
207
500
 ×
57
2000
) =
2057
2000
 z +
2057
2000
 ×
1207
500
 ×
57
2000
 ÷ ( z −
207
500
 ×
57
2000
) −
15
2
 ×
57
2000
( z −
57
2000
)
    The equation is reduced to :
      z z + z ×
68799
1000000
 ÷ ( z −
207
500
 ×
57
2000
) =
2057
2000
 z +
141519543
2000000000
 ÷ ( z −
207
500
 ×
57
2000
) −
171
800
( z −
57
2000
)
     Multiply both sides of the equation by:( z −
207
500
 ×
57
2000
)
      z z ( z −
207
500
 ×
57
2000
) + z ×
68799
1000000
 =
2057
2000
 z ( z −
207
500
 ×
57
2000
) +
141519543
2000000000
 −
171
800
( z −
57
2000
)( z −
207
500
 ×
57
2000
)
    Remove a bracket on the left of the equation:
      z z z − z z ×
207
500
 ×
57
2000
 + z ×
68799
1000000
 =
2057
2000
 z ( z −
207
500
 ×
57
2000
) +
141519543
2000000000
 −
171
800
( z −
57
2000
)( z −
207
500
 ×
57
2000
)
    Remove a bracket on the right of the equation:：
      z z z − z z ×
207
500
 ×
57
2000
 + z ×
68799
1000000
 =
2057
2000
 z z −
2057
2000
 z ×
207
500
 ×
57
2000
 +
141519543
2000000000
 −
171
800
( z −
57
2000
)( z −
207
500
 ×
57
2000
)
    The equation is reduced to :
      z z z − z z ×
11799
1000000
 + z ×
68799
1000000
 =
2057
2000
 z z −
24270543
2000000000
 z +
141519543
2000000000
 −
171
800
( z −
57
2000
)( z −
207
500
 ×
57
2000
)
    Remove a bracket on the right of the equation:：
      z z z − z z ×
11799
1000000
 +
68799
1000000
 z =
2057
2000
 z z −
24270543
2000000000
 z +
141519543
2000000000
 −
171
800
 z ( z −
207
500
 ×
57
2000
) +
171
800
 ×
57
2000
( z −
207
500
 ×
57
2000
)
    The equation is reduced to :
      z z z − z z ×
11799
1000000
 +
68799
1000000
 z =
2057
2000
 z z −
24270543
2000000000
 z +
141519543
2000000000
 −
171
800
 z ( z −
207
500
 ×
57
2000
) +
9747
1600000
( z −
207
500
 ×
57
2000
)
    Remove a bracket on the right of the equation:：
      z z z − z z ×
11799
1000000
 +
68799
1000000
 z =
2057
2000
 z z −
24270543
2000000000
 z +
141519543
2000000000
 −
171
800
 z z +
171
800
 z ×
207
500
    The equation is reduced to :
      z z z − z z ×
11799
1000000
 +
68799
1000000
 z =
2057
2000
 z z −
24270543
2000000000
 z +
141519543
2000000000
 −
171
800
 z z +
2017629
800000000
 z +
9747
1600000

    
        z≈0.840559 , 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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