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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 {100%+[(403÷145)(230+x)]÷(1400+230+x)}÷{100%+[(403÷145)x]÷(1400+x)+15%} = (100%+117.1%)÷(100%+94.6%) .
    Question type: Equation
    Solution:Original question:
     (
100
100
 + ((403 ÷ 145)(230 + x )) ÷ (1400 + 230 + x )) ÷ (
100
100
 + ((403 ÷ 145) x ) ÷ (1400 + x ) +
15
100
) = (
100
100
 +
1171
1000
) ÷ (
100
100
 +
473
500
)
     Multiply both sides of the equation by:(
100
100
 + ((403 ÷ 145) x ) ÷ (1400 + x ) +
15
100
) ,  (
100
100
 +
473
500
)
     (
100
100
 + ((403 ÷ 145)(230 + x )) ÷ (1400 + 230 + x ))(
100
100
 +
473
500
) = (
100
100
 +
1171
1000
)(
100
100
 + ((403 ÷ 145) x ) ÷ (1400 + x ) +
15
100
)
    Remove a bracket on the left of the equation:：
     
100
100
(
100
100
 +
473
500
) + ((403 ÷ 145)(230 + x )) ÷ (1400 + 230 + x ) × (
100
100
 +
473
500
) = (
100
100
 +
1171
1000
)(
100
100
 + ((403 ÷ 145) x ) ÷ (1400 + x ) +
15
100
)
    Remove a bracket on the right of the equation:：
     
100
100
(
100
100
 +
473
500
) + ((403 ÷ 145)(230 + x )) ÷ (1400 + 230 + x ) × (
100
100
 +
473
500
) =
100
100
(
100
100
 + ((403 ÷ 145) x ) ÷ (1400 + x ) +
15
100
) +
1171
1000
(
100
100
 + ((403 ÷ 145) x ) ÷ (1400 + x ) +
15
100
)
     Multiply both sides of the equation by:(1400 + 230 + x )
     
100
100
(
100
100
 +
473
500
)(1400 + 230 + x ) + ((403 ÷ 145)(230 + x ))(
100
100
 +
473
500
) =
100
100
(
100
100
 + ((403 ÷ 145) x ) ÷ (1400 + x ) +
15
100
)(1400 + 230 + x ) +
1171
1000
(
100
100
 + ((403 ÷ 145) x ) ÷ (1400 + x ) +
15
100
)(1400 + 230 + x )
    Remove a bracket on the left of the equation:
     
100
100
 ×
100
100
(1400 + 230 + x ) +
100
100
 ×
473
500
(1400 + 230 + x ) + ((403 ÷ 145)(230 + x ))(
100
100
 +
473
500
) =
100
100
(
100
100
 + ((403 ÷ 145) x ) ÷ (1400 + x ) +
15
100
)(1400 + 230 + x ) +
1171
1000
(
100
100
 + ((403 ÷ 145) x ) ÷ (1400 + x ) +
15
100
)(1400 + 230 + x )
    Remove a bracket on the right of the equation:：
     
100
100
 ×
100
100
(1400 + 230 + x ) +
100
100
 ×
473
500
(1400 + 230 + x ) + ((403 ÷ 145)(230 + x ))(
100
100
 +
473
500
) =
100
100
 ×
100
100
(1400 + 230 + x ) +
100
100
((403 ÷ 145) x ) ÷ (1400 + x ) × (1400 + 230 + x ) +
100
100
 ×
15
100
(1400 + 230 + x ) +
1171
1000
(
100
100
 + ((403 ÷ 145) x ) ÷ (1400 + x ) +
15
100
)
    The equation is reduced to :
     1(1400 + 230 + x ) +
473
500
(1400 + 230 + x ) + ((403 ÷ 145)(230 + x ))(
100
100
 +
473
500
) = 1(1400 + 230 + x ) +
100
100
((403 ÷ 145) x ) ÷ (1400 + x ) × (1400 + 230 + x ) +
3
20
(1400 + 230 + x ) +
1171
1000
(
100
100
 + ((403 ÷ 145) x ) ÷ (1400 + x ) +
15
100
)(1400 + 230 + x )
     Multiply both sides of the equation by:(1400 + x )
     1(1400 + 230 + x )(1400 + x ) +
473
500
(1400 + 230 + x )(1400 + x ) + ((403 ÷ 145)(230 + x ))(
100
100
 +
473
500
)(1400 + x ) = 1(1400 + 230 + x )(1400 + x ) +
100
100
((403 ÷ 145) x )(1400 + 230 + x ) +
3
20
(1400 + 230 + x )(1400 + x ) +
1171
1000
(
100
100
 + ((403 ÷ 145) x ) ÷ (1400 + x ) +
15
100
)(1400 + 230 + x )
    Remove a bracket on the left of the equation:
     1 × 1400(1400 + x ) + 1 × 230(1400 + x ) + 1 x (1400 + x ) +
473
500
(1400 + 230 + x )(1400 + x ) = 1(1400 + 230 + x )(1400 + x ) +
100
100
((403 ÷ 145) x )(1400 + 230 + x ) +
3
20
(1400 + 230 + x )(1400 + x ) +
1171
1000
(
100
100
 + ((403 ÷ 145) x ) ÷ (1400 + x ) +
15
100
)(1400 + 230 + x )
    Remove a bracket on the right of the equation:：
     1 × 1400(1400 + x ) + 1 × 230(1400 + x ) + 1 x (1400 + x ) +
473
500
(1400 + 230 + x )(1400 + x ) = 1 × 1400(1400 + x ) + 1 × 230(1400 + x ) + 1 x (1400 + x ) +
100
100
((403 ÷ 145) x )(1400 + 230 + x )
    The equation is reduced to :
     1400(1400 + x ) + 230(1400 + x ) + 1 x (1400 + x ) +
473
500
(1400 + 230 + x )(1400 + x ) + ((403 ÷ 145)(230 + x ))(
100
100
 +
473
500
) = 1400(1400 + x ) + 230(1400 + x ) + 1 x (1400 + x ) +
100
100
((403 ÷ 145) x )(1400 + 230 + x ) +
3
20
(1400 + 230 + x )
    Remove a bracket on the left of the equation:
     1400 × 1400 + 1400 x + 230(1400 + x ) + 1 x (1400 + x ) +
473
500
(1400 + 230 + x )(1400 + x ) = 1400(1400 + x ) + 230(1400 + x ) + 1 x (1400 + x ) +
100
100
((403 ÷ 145) x )(1400 + 230 + x ) +
3
20
(1400 + 230 + x )
    Remove a bracket on the right of the equation:：
     1400 × 1400 + 1400 x + 230(1400 + x ) + 1 x (1400 + x ) +
473
500
(1400 + 230 + x )(1400 + x ) = 1400 × 1400 + 1400 x + 230(1400 + x ) + 1 x (1400 + x ) +
100
100
((403 ÷ 145) x )(1400 + 230 + x )
    The equation is reduced to :
     1960000 + 1400 x + 230(1400 + x ) + 1 x (1400 + x ) +
473
500
(1400 + 230 + x )(1400 + x ) + ((403 ÷ 145)(230 + x )) = 1960000 + 1400 x + 230(1400 + x ) + 1 x (1400 + x ) +
100
100
((403 ÷ 145) x )(1400 + 230 + x ) +
3
20
    Remove a bracket on the left of the equation:
     1960000 + 1400 x + 230 × 1400 + 230 x + 1 x (1400 + x ) +
473
500
(1400 + 230 + x ) = 1960000 + 1400 x + 230(1400 + x ) + 1 x (1400 + x ) +
100
100
((403 ÷ 145) x )(1400 + 230 + x ) +
3
20
    Remove a bracket on the right of the equation:：
     1960000 + 1400 x + 230 × 1400 + 230 x + 1 x (1400 + x ) +
473
500
(1400 + 230 + x ) = 1960000 + 1400 x + 230 × 1400 + 230 x + 1 x (1400 + x ) +
100
100
((403 ÷ 145) x )
    The equation is reduced to :
     1960000 + 1400 x + 322000 + 230 x + 1 x (1400 + x ) +
473
500
(1400 + 230 + x )(1400 + x ) = 1960000 + 1400 x + 322000 + 230 x + 1 x (1400 + x ) +
100
100
((403 ÷ 145) x )(1400 + 230 + x )
    The equation is reduced to :
     2282000 + 1630 x + 1 x (1400 + x ) +
473
500
(1400 + 230 + x )(1400 + x ) + ((403 ÷ 145)(230 + x ))(
100
100
 +
473
500
)(1400 + x ) = 2282000 + 1630 x + 1 x (1400 + x ) +
100
100
((403 ÷ 145) x )(1400 + 230 + x ) +
3
20
(1400 + 230 + x )(1400 + x )
    Remove a bracket on the left of the equation:
     2282000 + 1630 x + 1 x × 1400 + 1 x x +
473
500
(1400 + 230 + x )(1400 + x ) = 2282000 + 1630 x + 1 x (1400 + x ) +
100
100
((403 ÷ 145) x )(1400 + 230 + x ) +
3
20
(1400 + 230 + x )(1400 + x )
    Remove a bracket on the right of the equation:：
     2282000 + 1630 x + 1 x × 1400 + 1 x x +
473
500
(1400 + 230 + x )(1400 + x ) = 2282000 + 1630 x + 1 x × 1400 + 1 x x +
100
100
((403 ÷ 145) x )(1400 + 230 + x )
    The equation is reduced to :
     2282000 + 1630 x + 1400 x + 1 x x +
473
500
(1400 + 230 + x )(1400 + x ) + ((403 ÷ 145)(230 + x )) = 2282000 + 1630 x + 1400 x + 1 x x +
100
100
((403 ÷ 145) x )(1400 + 230 + x ) +
3
20

    
        x≈168.073737 , keep 6 decimal places    
    There are 1 solution(s).

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