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           ☆1 equations

[ 1/1 Equation]
    Work: Find the solution of equation 85000 = 5*(1/x+1/0.2329)/(0.2329-x)+(0.68*x*x+0.2*0.2329*0.2329)/(x*x*0.05424241*(0.2329-x))+(1.36*x-0.09316)/(x*0.2329*(0.2329-x)*(0.2329-x)) .
    Question type: Equation
    Solution:Original question:
     85000 = 5(1 ÷ x + 1 ÷
2329
10000
) ÷ (
2329
10000
x ) + (
17
25
x x +
1
5
×
2329
10000
×
2329
10000
) ÷ ( x x ×
5424241
100000000
(
2329
10000
x )) + (
34
25
x
2329
25000
) ÷ ( x ×
2329
10000
(
2329
10000
x )(
2329
10000
x ))
     Multiply both sides of the equation by:(
2329
10000
x )
     85000(
2329
10000
x ) = 5(1 ÷ x + 1 ÷
2329
10000
) + (
17
25
x x +
1
5
×
2329
10000
×
2329
10000
) ÷ ( x x ×
5424241
100000000
(
2329
10000
x )) × (
2329
10000
x ) + (
34
25
x
2329
25000
) ÷ ( x ×
2329
10000
(
2329
10000
x )(
2329
10000
x )) × (
2329
10000
x )
    Remove a bracket on the left of the equation::
     85000 ×
2329
10000
85000 x = 5(1 ÷ x + 1 ÷
2329
10000
) + (
17
25
x x +
1
5
×
2329
10000
×
2329
10000
) ÷ ( x x ×
5424241
100000000
(
2329
10000
x )) × (
2329
10000
x ) + (
34
25
x
2329
25000
) ÷ ( x ×
2329
10000
(
2329
10000
x )(
2329
10000
x )) × (
2329
10000
x )
    Remove a bracket on the right of the equation::
     85000 ×
2329
10000
85000 x = 5 × 1 ÷ x + 5 × 1 ÷
2329
10000
+ (
17
25
x x +
1
5
×
2329
10000
×
2329
10000
) ÷ ( x x ×
5424241
100000000
(
2329
10000
x )) × (
2329
10000
x ) + (
34
25
x
2329
25000
) ÷ ( x ×
2329
10000
(
2329
10000
x )(
2329
10000
x )) × (
2329
10000
x )
    The equation is reduced to :
     
39593
2
85000 x = 5 ÷ x +
50000
2329
+ (
17
25
x x +
1
5
×
2329
10000
×
2329
10000
) ÷ ( x x ×
5424241
100000000
(
2329
10000
x )) × (
2329
10000
x ) + (
34
25
x
2329
25000
) ÷ ( x ×
2329
10000
(
2329
10000
x )(
2329
10000
x )) × (
2329
10000
x )
     Multiply both sides of the equation by: x
     
39593
2
x 85000 x x = 5 +
50000
2329
x + (
17
25
x x +
1
5
×
2329
10000
×
2329
10000
) ÷ ( x x ×
5424241
100000000
(
2329
10000
x )) × (
2329
10000
x ) x + (
34
25
x
2329
25000
) ÷ ( x ×
2329
10000
(
2329
10000
x )(
2329
10000
x )) × (
2329
10000
x ) x
    Remove a bracket on the right of the equation::
     
39593
2
x 85000 x x = 5 +
50000
2329
x +
17
25
x x ÷ ( x x ×
5424241
100000000
(
2329
10000
x )) × (
2329
10000
x ) x +
1
5
×
2329
10000
×
2329
10000
    The equation is reduced to :
     
39593
2
x 85000 x x = 5 +
50000
2329
x +
17
25
x x ÷ ( x x ×
5424241
100000000
(
2329
10000
x )) × (
2329
10000
x ) x +
5424241
500000000
÷ ( x x ×
5424241
100000000
(
2329
10000
x )) × (
2329
10000
x )
     Multiply both sides of the equation by:(1 × 1 ×
5424241
100000000
(
2329
10000
x ))
     
39593
2
x (1 × 1 ×
5424241
100000000
(
2329
10000
x ))85000 x x (1 × 1 ×
5424241
100000000
(
2329
10000
x )) = 5(1 × 1 ×
5424241
100000000
(
2329
10000
x )) +
50000
2329
x (1 × 1 ×
5424241
100000000
(
2329
10000
x )) +
17
25
× 1 × 1(
2329
10000
x ) x +
5424241
500000000
÷ (1 x ×
5424241
100000000
(
2329
10000
x ))
    Remove a bracket on the left of the equation:
     
39593
2
x × 1 × 1 ×
5424241
100000000
(
2329
10000
x )85000 x x (1 × 1 ×
5424241
100000000
(
2329
10000
x )) = 5(1 × 1 ×
5424241
100000000
(
2329
10000
x )) +
50000
2329
x (1 × 1 ×
5424241
100000000
(
2329
10000
x )) +
17
25
× 1 × 1(
2329
10000
x ) x +
5424241
500000000
÷ (1 x ×
5424241
100000000
(
2329
10000
x ))
    Remove a bracket on the right of the equation::
     
39593
2
x × 1 × 1 ×
5424241
100000000
(
2329
10000
x )85000 x x (1 × 1 ×
5424241
100000000
(
2329
10000
x )) = 5 × 1 × 1 ×
5424241
100000000
(
2329
10000
x ) +
50000
2329
x (1 × 1 ×
5424241
100000000
(
2329
10000
x )) +
17
25
× 1 × 1(
2329
10000
x )
    This equation has no real solution!


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