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           ☆1 equations

[ 1/1 Equation]
    Work: Find the solution of equation 7600/(x+101*0.12)+10000/(104*1.1)+2600/(104*1.22) = 150 .
    Question type: Equation
    Solution:Original question:
     7600 ÷ ( x + 101 ×
3
25
) + 10000 ÷ (104 ×
11
10
) + 2600 ÷ (104 ×
61
50
) = 150
     Multiply both sides of the equation by:( x + 101 ×
3
25
)
     7600 + 10000 ÷ (104 ×
11
10
) × ( x + 101 ×
3
25
) + 2600 ÷ (104 ×
61
50
) × ( x + 101 ×
3
25
) = 150( x + 101 ×
3
25
)
    Remove a bracket on the left of the equation::
     7600 + 10000 ÷ (104 ×
11
10
) × x + 10000 ÷ (104 ×
11
10
) × 101 ×
3
25
+ 2600 ÷ (104 ×
61
50
) × ( x + 101 ×
3
25
) = 150( x + 101 ×
3
25
)
    Remove a bracket on the right of the equation::
     7600 + 10000 ÷ (104 ×
11
10
) × x + 10000 ÷ (104 ×
11
10
) × 101 ×
3
25
+ 2600 ÷ (104 ×
61
50
) × ( x + 101 ×
3
25
) = 150 x + 150 × 101 ×
3
25
    The equation is reduced to :
     7600 + 10000 ÷ (104 ×
11
10
) × x + 121200 ÷ (104 ×
11
10
) + 2600 ÷ (104 ×
61
50
) × ( x + 101 ×
3
25
) = 150 x + 1818
     Multiply both sides of the equation by:(104 ×
11
10
)
     7600(104 ×
11
10
) + 10000 x + 121200 ÷ (104 ×
11
10
) × (104 ×
11
10
) + 2600 ÷ (104 ×
61
50
) × ( x + 101 ×
3
25
)(104 ×
11
10
) = 150 x (104 ×
11
10
) + 1818(104 ×
11
10
)
    Remove a bracket on the left of the equation:
     7600 × 104 ×
11
10
+ 10000 x + 121200 ÷ (104 ×
11
10
) × (104 ×
11
10
) + 2600 ÷ (104 ×
61
50
) × ( x + 101 ×
3
25
)(104 ×
11
10
) = 150 x (104 ×
11
10
) + 1818(104 ×
11
10
)
    Remove a bracket on the right of the equation::
     7600 × 104 ×
11
10
+ 10000 x + 121200 ÷ (104 ×
11
10
) × (104 ×
11
10
) + 2600 ÷ (104 ×
61
50
) × ( x + 101 ×
3
25
)(104 ×
11
10
) = 150 x × 104 ×
11
10
+ 1818(104 ×
11
10
)
    The equation is reduced to :
     869440 + 10000 x + 121200 ÷ (104 ×
11
10
) × (104 ×
11
10
) + 2600 ÷ (104 ×
61
50
) × ( x + 101 ×
3
25
)(104 ×
11
10
) = 17160 x + 1818(104 ×
11
10
)
     Multiply both sides of the equation by:(104 ×
11
10
)
     869440(104 ×
11
10
) + 10000 x (104 ×
11
10
) + 121200(104 ×
11
10
) + 2600 ÷ (104 ×
61
50
) × ( x + 101 ×
3
25
)(104 ×
11
10
)(104 ×
11
10
) = 17160 x (104 ×
11
10
) + 1818(104 ×
11
10
)(104 ×
11
10
)
    Remove a bracket on the left of the equation:
     869440 × 104 ×
11
10
+ 10000 x (104 ×
11
10
) + 121200(104 ×
11
10
) + 2600 ÷ (104 ×
61
50
) × ( x + 101 ×
3
25
)(104 ×
11
10
) = 17160 x (104 ×
11
10
) + 1818(104 ×
11
10
)(104 ×
11
10
)
    Remove a bracket on the right of the equation::
     869440 × 104 ×
11
10
+ 10000 x (104 ×
11
10
) + 121200(104 ×
11
10
) + 2600 ÷ (104 ×
61
50
) × ( x + 101 ×
3
25
)(104 ×
11
10
) = 17160 x × 104 ×
11
10
+ 1818(104 ×
11
10
)(104 ×
11
10
)
    The equation is reduced to :
     99463936 + 10000 x (104 ×
11
10
) + 121200(104 ×
11
10
) + 2600 ÷ (104 ×
61
50
) × ( x + 101 ×
3
25
)(104 ×
11
10
)(104 ×
11
10
) = 1963104 x + 1818(104 ×
11
10
)(104 ×
11
10
)
     Multiply both sides of the equation by:(104 ×
61
50
)
     99463936(104 ×
61
50
) + 10000 x (104 ×
11
10
)(104 ×
61
50
) + 121200(104 ×
11
10
)(104 ×
61
50
) + 2600( x + 101 ×
3
25
)(104 ×
11
10
) = 1963104 x (104 ×
61
50
) + 1818(104 ×
11
10
)(104 ×
11
10
)(104 ×
61
50
)
    Remove a bracket on the left of the equation:
     99463936 × 104 ×
61
50
+ 10000 x (104 ×
11
10
)(104 ×
61
50
) + 121200(104 ×
11
10
)(104 ×
61
50
) + 2600( x + 101 ×
3
25
) = 1963104 x (104 ×
61
50
) + 1818(104 ×
11
10
)(104 ×
11
10
)(104 ×
61
50
)
    Remove a bracket on the right of the equation::
     99463936 × 104 ×
61
50
+ 10000 x (104 ×
11
10
)(104 ×
61
50
) + 121200(104 ×
11
10
)(104 ×
61
50
) + 2600( x + 101 ×
3
25
) = 1963104 x × 104 ×
61
50
+ 1818(104 ×
11
10
)(104 ×
11
10
)(104 ×
61
50
)

    
        x≈168.421394 , 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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