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           ☆1 equations

[ 1/1 Equation]
    Work: Find the solution of equation 7600/(x+101*0.12)+10000/(106*1.1)+2600/(106*1.22) = 150 .
    Question type: Equation
    Solution:Original question:
     7600 ÷ ( x + 101 ×
3
25
) + 10000 ÷ (106 ×
11
10
) + 2600 ÷ (106 ×
61
50
) = 150
     Multiply both sides of the equation by:( x + 101 ×
3
25
)
     7600 + 10000 ÷ (106 ×
11
10
) × ( x + 101 ×
3
25
) + 2600 ÷ (106 ×
61
50
) × ( x + 101 ×
3
25
) = 150( x + 101 ×
3
25
)
    Remove a bracket on the left of the equation::
     7600 + 10000 ÷ (106 ×
11
10
) × x + 10000 ÷ (106 ×
11
10
) × 101 ×
3
25
+ 2600 ÷ (106 ×
61
50
) × ( x + 101 ×
3
25
) = 150( x + 101 ×
3
25
)
    Remove a bracket on the right of the equation::
     7600 + 10000 ÷ (106 ×
11
10
) × x + 10000 ÷ (106 ×
11
10
) × 101 ×
3
25
+ 2600 ÷ (106 ×
61
50
) × ( x + 101 ×
3
25
) = 150 x + 150 × 101 ×
3
25
    The equation is reduced to :
     7600 + 10000 ÷ (106 ×
11
10
) × x + 121200 ÷ (106 ×
11
10
) + 2600 ÷ (106 ×
61
50
) × ( x + 101 ×
3
25
) = 150 x + 1818
     Multiply both sides of the equation by:(106 ×
11
10
)
     7600(106 ×
11
10
) + 10000 x + 121200 ÷ (106 ×
11
10
) × (106 ×
11
10
) + 2600 ÷ (106 ×
61
50
) × ( x + 101 ×
3
25
)(106 ×
11
10
) = 150 x (106 ×
11
10
) + 1818(106 ×
11
10
)
    Remove a bracket on the left of the equation:
     7600 × 106 ×
11
10
+ 10000 x + 121200 ÷ (106 ×
11
10
) × (106 ×
11
10
) + 2600 ÷ (106 ×
61
50
) × ( x + 101 ×
3
25
)(106 ×
11
10
) = 150 x (106 ×
11
10
) + 1818(106 ×
11
10
)
    Remove a bracket on the right of the equation::
     7600 × 106 ×
11
10
+ 10000 x + 121200 ÷ (106 ×
11
10
) × (106 ×
11
10
) + 2600 ÷ (106 ×
61
50
) × ( x + 101 ×
3
25
)(106 ×
11
10
) = 150 x × 106 ×
11
10
+ 1818(106 ×
11
10
)
    The equation is reduced to :
     886160 + 10000 x + 121200 ÷ (106 ×
11
10
) × (106 ×
11
10
) + 2600 ÷ (106 ×
61
50
) × ( x + 101 ×
3
25
)(106 ×
11
10
) = 17490 x + 1818(106 ×
11
10
)
     Multiply both sides of the equation by:(106 ×
11
10
)
     886160(106 ×
11
10
) + 10000 x (106 ×
11
10
) + 121200(106 ×
11
10
) + 2600 ÷ (106 ×
61
50
) × ( x + 101 ×
3
25
)(106 ×
11
10
)(106 ×
11
10
) = 17490 x (106 ×
11
10
) + 1818(106 ×
11
10
)(106 ×
11
10
)
    Remove a bracket on the left of the equation:
     886160 × 106 ×
11
10
+ 10000 x (106 ×
11
10
) + 121200(106 ×
11
10
) + 2600 ÷ (106 ×
61
50
) × ( x + 101 ×
3
25
)(106 ×
11
10
) = 17490 x (106 ×
11
10
) + 1818(106 ×
11
10
)(106 ×
11
10
)
    Remove a bracket on the right of the equation::
     886160 × 106 ×
11
10
+ 10000 x (106 ×
11
10
) + 121200(106 ×
11
10
) + 2600 ÷ (106 ×
61
50
) × ( x + 101 ×
3
25
)(106 ×
11
10
) = 17490 x × 106 ×
11
10
+ 1818(106 ×
11
10
)(106 ×
11
10
)
    The equation is reduced to :
     103326256 + 10000 x (106 ×
11
10
) + 121200(106 ×
11
10
) + 2600 ÷ (106 ×
61
50
) × ( x + 101 ×
3
25
)(106 ×
11
10
)(106 ×
11
10
) = 2039334 x + 1818(106 ×
11
10
)(106 ×
11
10
)
     Multiply both sides of the equation by:(106 ×
61
50
)
     103326256(106 ×
61
50
) + 10000 x (106 ×
11
10
)(106 ×
61
50
) + 121200(106 ×
11
10
)(106 ×
61
50
) + 2600( x + 101 ×
3
25
)(106 ×
11
10
) = 2039334 x (106 ×
61
50
) + 1818(106 ×
11
10
)(106 ×
11
10
)(106 ×
61
50
)
    Remove a bracket on the left of the equation:
     103326256 × 106 ×
61
50
+ 10000 x (106 ×
11
10
)(106 ×
61
50
) + 121200(106 ×
11
10
)(106 ×
61
50
) + 2600( x + 101 ×
3
25
) = 2039334 x (106 ×
61
50
) + 1818(106 ×
11
10
)(106 ×
11
10
)(106 ×
61
50
)
    Remove a bracket on the right of the equation::
     103326256 × 106 ×
61
50
+ 10000 x (106 ×
11
10
)(106 ×
61
50
) + 121200(106 ×
11
10
)(106 ×
61
50
) + 2600( x + 101 ×
3
25
) = 2039334 x × 106 ×
61
50
+ 1818(106 ×
11
10
)(106 ×
11
10
)(106 ×
61
50
)

    
        x≈160.092431 , keep 6 decimal places
    
    There are 1 solution(s).


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