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On line Solution of Monovariate Equation：
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    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 (15%-(100%-80%-X))*(60000-X*(25000/80%)/(18%-X)) = 75000-(100%-80%-X)*(25000/80%) .
    Question type: Equation
    Solution:Original question:
     (
15
100
 − (
100
100
 −
80
100
 − X ))(60000 − X (25000 ÷
80
100
) ÷ (
18
100
 − X )) = 75000 − (
100
100
 −
80
100
 − X )(25000 ÷
80
100
)
    Remove a bracket on the left of the equation:：
     
15
100
(60000 − X (25000 ÷
80
100
) ÷ (
18
100
 − X )) − (
100
100
 −
80
100
 − X )(60000 − X (25000 ÷
80
100
) ÷ (
18
100
 − X )) = 75000 − (
100
100
 −
80
100
 − X )(25000 ÷
80
100
)
    Remove a bracket on the right of the equation:：
     
15
100
(60000 − X (25000 ÷
80
100
) ÷ (
18
100
 − X )) − (
100
100
 −
80
100
 − X )(60000 − X (25000 ÷
80
100
) ÷ (
18
100
 − X )) = 75000 −
100
100
(25000 ÷
80
100
) +
80
100
(25000 ÷
80
100
) + X (25000 ÷
80
100
)
    Remove a bracket on the left of the equation:
     
15
100
 × 60000 −
15
100
 X (25000 ÷
80
100
) ÷ (
18
100
 − X ) − (
100
100
 −
80
100
 − X )(60000 − X (25000 ÷
80
100
) ÷ (
18
100
 − X )) = 75000 −
100
100
(25000 ÷
80
100
) +
80
100
(25000 ÷
80
100
) + X (25000 ÷
80
100
)
    Remove a bracket on the right of the equation:：
     
15
100
 × 60000 −
15
100
 X (25000 ÷
80
100
) ÷ (
18
100
 − X ) − (
100
100
 −
80
100
 − X )(60000 − X (25000 ÷
80
100
) ÷ (
18
100
 − X )) = 75000 −
100
100
 × 25000 ÷
80
100
 +
80
100
(25000 ÷
80
100
) + X (25000 ÷
80
100
)
    The equation is reduced to :
     9000 −
15
100
 X (25000 ÷
80
100
) ÷ (
18
100
 − X ) − (
100
100
 −
80
100
 − X )(60000 − X (25000 ÷
80
100
) ÷ (
18
100
 − X )) = 75000 − 31250 +
80
100
(25000 ÷
80
100
) + X (25000 ÷
80
100
)
    The equation is reduced to :
     9000 −
15
100
 X (25000 ÷
80
100
) ÷ (
18
100
 − X ) − (
100
100
 −
80
100
 − X )(60000 − X (25000 ÷
80
100
) ÷ (
18
100
 − X )) = 43750 +
80
100
(25000 ÷
80
100
) + X (25000 ÷
80
100
)
     Multiply both sides of the equation by:(
18
100
 − X )
     9000(
18
100
 − X ) −
15
100
 X (25000 ÷
80
100
) − (
100
100
 −
80
100
 − X )(60000 − X (25000 ÷
80
100
) ÷ (
18
100
 − X ))(
18
100
 − X ) = 43750(
18
100
 − X ) +
80
100
(25000 ÷
80
100
)(
18
100
 − X ) + X (25000 ÷
80
100
)(
18
100
 − X )
    Remove a bracket on the left of the equation:
     9000 ×
18
100
 − 9000 X −
15
100
 X (25000 ÷
80
100
) − (
100
100
 −
80
100
 − X )(60000 − X (25000 ÷
80
100
) ÷ (
18
100
 − X ))(
18
100
 − X ) = 43750(
18
100
 − X ) +
80
100
(25000 ÷
80
100
)(
18
100
 − X ) + X (25000 ÷
80
100
)(
18
100
 − X )
    Remove a bracket on the right of the equation:：
     9000 ×
18
100
 − 9000 X −
15
100
 X (25000 ÷
80
100
) − (
100
100
 −
80
100
 − X )(60000 − X (25000 ÷
80
100
) ÷ (
18
100
 − X ))(
18
100
 − X ) = 43750 ×
18
100
 − 43750 X +
80
100
(25000 ÷
80
100
)(
18
100
 − X ) + X (25000 ÷
80
100
)(
18
100
 − X )
    The equation is reduced to :
     1620 − 9000 X −
15
100
 X (25000 ÷
80
100
) − (
100
100
 −
80
100
 − X )(60000 − X (25000 ÷
80
100
) ÷ (
18
100
 − X ))(
18
100
 − X ) = 7875 − 43750 X +
80
100
(25000 ÷
80
100
)(
18
100
 − X ) + X (25000 ÷
80
100
)(
18
100
 − X )
    Remove a bracket on the left of the equation:
     1620 − 9000 X −
15
100
 X × 25000 ÷
80
100
 − (
100
100
 −
80
100
 − X )(60000 − X (25000 ÷
80
100
) ÷ (
18
100
 − X ))(
18
100
 − X ) = 7875 − 43750 X +
80
100
(25000 ÷
80
100
)(
18
100
 − X ) + X (25000 ÷
80
100
)(
18
100
 − X )
    Remove a bracket on the right of the equation:：
     1620 − 9000 X −
15
100
 X × 25000 ÷
80
100
 − (
100
100
 −
80
100
 − X )(60000 − X (25000 ÷
80
100
) ÷ (
18
100
 − X ))(
18
100
 − X ) = 7875 − 43750 X +
80
100
 × 25000 ÷
80
100
 × (
18
100
 − X ) + X (25000 ÷
80
100
)(
18
100
 − X )
    The equation is reduced to :
     1620 − 9000 X −
9375
2
 X − (
100
100
 −
80
100
 − X )(60000 − X (25000 ÷
80
100
) ÷ (
18
100
 − X ))(
18
100
 − X ) = 7875 − 43750 X + 25000(
18
100
 − X ) + X (25000 ÷
80
100
)(
18
100
 − X )
    The equation is reduced to :
     1620 −
27375
2
 X − (
100
100
 −
80
100
 − X )(60000 − X (25000 ÷
80
100
) ÷ (
18
100
 − X ))(
18
100
 − X ) = 7875 − 43750 X + 25000(
18
100
 − X ) + X (25000 ÷
80
100
)(
18
100
 − X )
    Remove a bracket on the left of the equation:
     1620 −
27375
2
 X −
100
100
(60000 − X (25000 ÷
80
100
) ÷ (
18
100
 − X ))(
18
100
 − X ) +
80
100
(60000 − X (25000 ÷
80
100
) ÷ (
18
100
 − X ))(
18
100
 − X ) + X (60000 − X (25000 ÷
80
100
) ÷ (
18
100
 − X ))(
18
100
 − X ) = 7875 − 43750 X + 25000(
18
100
 − X ) + X (25000 ÷
80
100
)(
18
100
 − X )
    Remove a bracket on the right of the equation:：
     1620 −
27375
2
 X −
100
100
(60000 − X (25000 ÷
80
100
) ÷ (
18
100
 − X ))(
18
100
 − X ) +
80
100
(60000 − X (25000 ÷
80
100
) ÷ (
18
100
 − X ))(
18
100
 − X ) + X (60000 − X (25000 ÷
80
100
) ÷ (
18
100
 − X ))(
18
100
 − X ) = 7875 − 43750 X + 25000 ×
18
100
 − 25000 X + X (25000 ÷
80
100
)(
18
100
 − X )
    The equation is reduced to :
     1620 −
27375
2
 X −
100
100
(60000 − X (25000 ÷
80
100
) ÷ (
18
100
 − X ))(
18
100
 − X ) +
80
100
(60000 − X (25000 ÷
80
100
) ÷ (
18
100
 − X ))(
18
100
 − X ) + X (60000 − X (25000 ÷
80
100
) ÷ (
18
100
 − X ))(
18
100
 − X ) = 7875 − 43750 X + 4500 − 25000 X + X (25000 ÷
80
100
)(
18
100
 − X )
    The equation is reduced to :
     1620 −
27375
2
 X −
100
100
(60000 − X (25000 ÷
80
100
) ÷ (
18
100
 − X ))(
18
100
 − X ) +
80
100
(60000 − X (25000 ÷
80
100
) ÷ (
18
100
 − X ))(
18
100
 − X ) + X (60000 − X (25000 ÷
80
100
) ÷ (
18
100
 − X ))(
18
100
 − X ) = 12375 − 68750 X + X (25000 ÷
80
100
)(
18
100
 − X )
    Remove a bracket on the left of the equation:
     1620 −
27375
2
 X −
100
100
 × 60000(
18
100
 − X ) +
100
100
 X (25000 ÷
80
100
) ÷ (
18
100
 − X ) × (
18
100
 − X ) +
80
100
 = 12375 − 68750 X + X (25000 ÷
80
100
)(
18
100
 − X )
    Remove a bracket on the right of the equation:：
     1620 −
27375
2
 X −
100
100
 × 60000(
18
100
 − X ) +
100
100
 X (25000 ÷
80
100
) ÷ (
18
100
 − X ) × (
18
100
 − X ) +
80
100
 = 12375 − 68750 X + X × 25000 ÷
80
100
 × (
18
100
 − X )
    The equation is reduced to :
     1620 −
27375
2
 X − 60000(
18
100
 − X ) +
100
100
 X (25000 ÷
80
100
) ÷ (
18
100
 − X ) × (
18
100
 − X ) +
80
100
(60000 − X (25000 ÷
80
100
) ÷ (
18
100
 − X )) = 12375 − 68750 X + X × 31250(
18
100
 − X )
     Multiply both sides of the equation by:(
18
100
 − X )
     1620(
18
100
 − X ) −
27375
2
 X (
18
100
 − X ) − 60000(
18
100
 − X )(
18
100
 − X ) +
100
100
 X (25000 ÷
80
100
)(
18
100
 − X ) = 12375(
18
100
 − X ) − 68750 X (
18
100
 − X ) + X × 31250(
18
100
 − X )(
18
100
 − X )
    Remove a bracket on the left of the equation:
     1620 ×
18
100
 − 1620 X −
27375
2
 X (
18
100
 − X ) − 60000(
18
100
 − X )(
18
100
 − X ) +
100
100
 X = 12375(
18
100
 − X ) − 68750 X (
18
100
 − X ) + X × 31250(
18
100
 − X )(
18
100
 − X )

    
        X≈1.299921 , keep 6 decimal places    
    There are 1 solution(s).

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