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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 6 = (8.314*293.15/(x-4.05))-(46105.26/(x(x+4.05)+4.05(x-4.05))) .
    Question type: Equation
    Solution:Original question:
     6 = (
4157
500
 ×
5863
20
 ÷ ( x −
81
20
)) − (
2305263
50
 ÷ ( x ( x +
81
20
) +
81
20
( x −
81
20
)))
    Remove a bracket on the right of the equation:：
     6 =
4157
500
 ×
5863
20
 ÷ ( x −
81
20
) − (
2305263
50
 ÷ ( x ( x +
81
20
) +
81
20
( x −
81
20
)))
    The equation is reduced to :
     6 =
24372491
10000
 ÷ ( x −
81
20
) − (
2305263
50
 ÷ ( x ( x +
81
20
) +
81
20
( x −
81
20
)))
     Multiply both sides of the equation by:( x −
81
20
)
     6( x −
81
20
) =
24372491
10000
 − (
2305263
50
 ÷ ( x ( x +
81
20
) +
81
20
( x −
81
20
)))( x −
81
20
)
    Remove a bracket on the left of the equation:
     6 x − 6 ×
81
20
 =
24372491
10000
 − (
2305263
50
 ÷ ( x ( x +
81
20
) +
81
20
( x −
81
20
)))( x −
81
20
)
    Remove a bracket on the right of the equation:：
     6 x − 6 ×
81
20
 =
24372491
10000
 −
2305263
50
 ÷ ( x ( x +
81
20
) +
81
20
( x −
81
20
)) × ( x −
81
20
)
    The equation is reduced to :
     6 x −
243
10
 =
24372491
10000
 −
2305263
50
 ÷ ( x ( x +
81
20
) +
81
20
( x −
81
20
)) × ( x −
81
20
)
     Multiply both sides of the equation by:( x ( x +
81
20
) +
81
20
( x −
81
20
))
     6 x ( x ( x +
81
20
) +
81
20
( x −
81
20
)) −
243
10
( x ( x +
81
20
) +
81
20
( x −
81
20
)) =
24372491
10000
( x ( x +
81
20
) +
81
20
( x −
81
20
)) −
2305263
50
( x −
81
20
)
    Remove a bracket on the left of the equation:
     6 x x ( x +
81
20
) + 6 x ×
81
20
( x −
81
20
) −
243
10
( x ( x +
81
20
) +
81
20
( x −
81
20
)) =
24372491
10000
( x ( x +
81
20
) +
81
20
( x −
81
20
)) −
2305263
50
( x −
81
20
)
    Remove a bracket on the right of the equation:：
     6 x x ( x +
81
20
) + 6 x ×
81
20
( x −
81
20
) −
243
10
( x ( x +
81
20
) +
81
20
( x −
81
20
)) =
24372491
10000
 x ( x +
81
20
) +
24372491
10000
 ×
81
20
( x −
81
20
) −
2305263
50
( x −
81
20
)
    The equation is reduced to :
     6 x x ( x +
81
20
) +
243
10
 x ( x −
81
20
) −
243
10
( x ( x +
81
20
) +
81
20
( x −
81
20
)) =
24372491
10000
 x ( x +
81
20
) +
1974171771
200000
( x −
81
20
) −
2305263
50
( x −
81
20
)
    Remove a bracket on the left of the equation:
     6 x x x + 6 x x ×
81
20
 +
243
10
 x ( x −
81
20
) −
243
10
 =
24372491
10000
 x ( x +
81
20
) +
1974171771
200000
( x −
81
20
) −
2305263
50
( x −
81
20
)
    Remove a bracket on the right of the equation:：
     6 x x x + 6 x x ×
81
20
 +
243
10
 x ( x −
81
20
) −
243
10
 =
24372491
10000
 x x +
24372491
10000
 x ×
81
20
 +
1974171771
200000
( x −
81
20
) −
2305263
50
( x −
81
20
)
    The equation is reduced to :
     6 x x x +
243
10
 x x +
243
10
 x ( x −
81
20
) −
243
10
( x ( x +
81
20
) +
81
20
( x −
81
20
)) =
24372491
10000
 x x +
1974171771
200000
 x +
1974171771
200000
( x −
81
20
) −
2305263
50
( x −
81
20
)
    Remove a bracket on the left of the equation:
     6 x x x +
243
10
 x x +
243
10
 x x −
243
10
 x =
24372491
10000
 x x +
1974171771
200000
 x +
1974171771
200000
( x −
81
20
) −
2305263
50
( x −
81
20
)
    Remove a bracket on the right of the equation:：
     6 x x x +
243
10
 x x +
243
10
 x x −
243
10
 x =
24372491
10000
 x x +
1974171771
200000
 x +
1974171771
200000
 x −
1974171771
200000
 ×
81
20
 −
2305263
50
( x −
81
20
)

    The solution of the equation:
        x1≈-9.777565 , keep 6 decimal places
        x2≈1.677565 , 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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