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           ☆1 equations

[ 1/1 Equation]
    Work: Find the solution of equation 100000*(x/(1.4128-10*0.0001))+500000*(10/(4.3250-x*0.0001))+200000*(10*10000/(14675.0000-10*10000))-34.19-76.25 = 0 .
    Question type: Equation
    Solution:Original question:
     100000( x ÷ (
883
625
10 ×
1
10000
)) + 500000(10 ÷ (
173
40
x ×
1
10000
)) + 200000(10 × 10000 ÷ (1467510 × 10000))
3419
100
305
4
= 0
    Remove a bracket on the left of the equation::
     100000 x ÷ (
883
625
10 ×
1
10000
) + 500000(10 ÷ (
173
40
x ×
1
10000
)) + 200000(10 × 10000 ÷ (1467510 × 10000))
3419
100
305
4
= 0
    The equation is reduced to :
     100000 x ÷ (
883
625
10 ×
1
10000
) + 500000(10 ÷ (
173
40
x ×
1
10000
)) + 200000(10 × 10000 ÷ (1467510 × 10000))
2761
25
= 0
     Multiply both sides of the equation by:(
883
625
10 ×
1
10000
)
     100000 x + 500000(10 ÷ (
173
40
x ×
1
10000
))(
883
625
10 ×
1
10000
) + 200000(10 × 10000 ÷ (1467510 × 10000))(
883
625
10 ×
1
10000
)
2761
25
(
883
625
10 ×
1
10000
) = 0
    Remove a bracket on the left of the equation:
     100000 x + 500000 × 10 ÷ (
173
40
x ×
1
10000
) × (
883
625
10 ×
1
10000
) + 200000(10 × 10000 ÷ (1467510 × 10000))(
883
625
10 ×
1
10000
)
2761
25
(
883
625
10 ×
1
10000
) = 0
    The equation is reduced to :
     100000 x + 5000000 ÷ (
173
40
x ×
1
10000
) × (
883
625
10 ×
1
10000
) + 200000(10 × 10000 ÷ (1467510 × 10000))(
883
625
10 ×
1
10000
)
2761
25
(
883
625
10 ×
1
10000
) = 0
     Multiply both sides of the equation by:(
173
40
x ×
1
10000
)
     100000 x (
173
40
x ×
1
10000
) + 5000000(
883
625
10 ×
1
10000
) + 200000(10 × 10000 ÷ (1467510 × 10000))(
883
625
10 ×
1
10000
)(
173
40
x ×
1
10000
)
2761
25
(
883
625
10 ×
1
10000
)(
173
40
x ×
1
10000
) = 0
    Remove a bracket on the left of the equation:
     100000 x ×
173
40
100000 x x ×
1
10000
+ 5000000(
883
625
10 ×
1
10000
) + 200000(10 × 10000 ÷ (1467510 × 10000))(
883
625
10 ×
1
10000
) = 0
    The equation is reduced to :
     432500 x 10 x x + 5000000(
883
625
10 ×
1
10000
) + 200000(10 × 10000 ÷ (1467510 × 10000))(
883
625
10 ×
1
10000
)(
173
40
x ×
1
10000
)
2761
25
= 0
    Remove a bracket on the left of the equation:
     432500 x 10 x x + 5000000 ×
883
625
5000000 × 10 ×
1
10000
+ 200000(10 × 10000 ÷ (1467510 × 10000)) = 0
    The equation is reduced to :
     432500 x 10 x x + 70640005000 + 200000(10 × 10000 ÷ (1467510 × 10000))(
883
625
10 ×
1
10000
)(
173
40
x ×
1
10000
)
2761
25
= 0
    The equation is reduced to :
     432500 x 10 x x + 7059000 + 200000(10 × 10000 ÷ (1467510 × 10000))(
883
625
10 ×
1
10000
)(
173
40
x ×
1
10000
)
2761
25
(
883
625
10 ×
1
10000
) = 0
    Remove a bracket on the left of the equation:
     432500 x 10 x x + 7059000 + 200000 × 10 × 10000 ÷ (1467510 × 10000) × (
883
625
10 ×
1
10000
)(
173
40
x ×
1
10000
) = 0

    
        x≈-13.005692 , 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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