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           ☆1 equations

[ 1/1 Equation]
    Work: Find the solution of equation 3.43 = x/(100*(1-((((3.14*100*1440)/60000)-(3.14*x*419.83/60000))/((3.14*100*1440)/60000))*100%)) .
    Question type: Equation
    Solution:Original question:
     
343
100
= x ÷ (100(1((((
157
50
× 100 × 1440) ÷ 60000)(
157
50
x ×
41983
100
÷ 60000)) ÷ ((
157
50
× 100 × 1440) ÷ 60000)) ×
100
100
))
     Multiply both sides of the equation by:(100(1((((
157
50
× 100 × 1440) ÷ 60000)(
157
50
x ×
41983
100
÷ 60000)) ÷ ((
157
50
× 100 × 1440) ÷ 60000)) ×
100
100
))
     
343
100
(100(1((((
157
50
× 100 × 1440) ÷ 60000)(
157
50
x ×
41983
100
÷ 60000)) ÷ ((
157
50
× 100 × 1440) ÷ 60000)) ×
100
100
)) = x
    Remove a bracket on the left of the equation::
     
343
100
× 100(1((((
157
50
× 100 × 1440) ÷ 60000)(
157
50
x ×
41983
100
÷ 60000)) ÷ ((
157
50
× 100 × 1440) ÷ 60000)) ×
100
100
) = x
    The equation is reduced to :
     343(1((((
157
50
× 100 × 1440) ÷ 60000)(
157
50
x ×
41983
100
÷ 60000)) ÷ ((
157
50
× 100 × 1440) ÷ 60000)) ×
100
100
) = x
    Remove a bracket on the left of the equation:
     343 × 1343((((
157
50
× 100 × 1440) ÷ 60000)(
157
50
x ×
41983
100
÷ 60000)) ÷ ((
157
50
× 100 × 1440) ÷ 60000)) ×
100
100
= x
    The equation is reduced to :
     343343((((
157
50
× 100 × 1440) ÷ 60000)(
157
50
x ×
41983
100
÷ 60000)) ÷ ((
157
50
× 100 × 1440) ÷ 60000)) = x
    Remove a bracket on the left of the equation:
     343343(((
157
50
× 100 × 1440) ÷ 60000)(
157
50
x ×
41983
100
÷ 60000)) ÷ ((
157
50
× 100 × 1440) ÷ 60000) = x
     Multiply both sides of the equation by:((
157
50
× 100 × 1440) ÷ 60000)
     343((
157
50
× 100 × 1440) ÷ 60000)343(((
157
50
× 100 × 1440) ÷ 60000)(
157
50
x ×
41983
100
÷ 60000)) = x ((
157
50
× 100 × 1440) ÷ 60000)
    Remove a bracket on the left of the equation:
     343(
157
50
× 100 × 1440) ÷ 60000343(((
157
50
× 100 × 1440) ÷ 60000)(
157
50
x ×
41983
100
÷ 60000)) = x ((
157
50
× 100 × 1440) ÷ 60000)
    Remove a bracket on the right of the equation::
     343(
157
50
× 100 × 1440) ÷ 60000343(((
157
50
× 100 × 1440) ÷ 60000)(
157
50
x ×
41983
100
÷ 60000)) = x (
157
50
× 100 × 1440) ÷ 60000
    The equation is reduced to :
     
343
60000
(
157
50
× 100 × 1440)343(((
157
50
× 100 × 1440) ÷ 60000)(
157
50
x ×
41983
100
÷ 60000)) = x (
157
50
× 100 × 1440) ×
1
60000
    Remove a bracket on the left of the equation:
     
343
60000
×
157
50
× 100 × 1440343(((
157
50
× 100 × 1440) ÷ 60000)(
157
50
x ×
41983
100
÷ 60000)) = x (
157
50
× 100 × 1440) ×
1
60000
    Remove a bracket on the right of the equation::
     
343
60000
×
157
50
× 100 × 1440343(((
157
50
× 100 × 1440) ÷ 60000)(
157
50
x ×
41983
100
÷ 60000)) = x ×
157
50
× 100 × 1440 ×
1
60000
    The equation is reduced to :
     
323106
125
343(((
157
50
× 100 × 1440) ÷ 60000)(
157
50
x ×
41983
100
÷ 60000)) = x ×
942
125
    Remove a bracket on the left of the equation:
     
323106
125
343((
157
50
× 100 × 1440) ÷ 60000) + 343(
157
50
x ×
41983
100
÷ 60000) =
942
125
x
    Remove a bracket on the left of the equation:
     
323106
125
343(
157
50
× 100 × 1440) ÷ 60000 + 343(
157
50
x ×
41983
100
÷ 60000) =
942
125
x
    The equation is reduced to :
     
323106
125
343
60000
(
157
50
× 100 × 1440) + 343(
157
50
x ×
41983
100
÷ 60000) =
942
125
x
    Remove a bracket on the left of the equation:
     
323106
125
343
60000
×
157
50
× 100 × 1440 + 343(
157
50
x ×
41983
100
÷ 60000) =
942
125
x
    The equation is reduced to :
     
323106
125
323106
125
+ 343(
157
50
x ×
41983
100
÷ 60000) =
942
125
x
    The equation is reduced to :
      0 + 343(
157
50
x ×
41983
100
÷ 60000) =
942
125
x
    Remove a bracket on the left of the equation:
     343 ×
157
50
x ×
41983
100
÷ 60000 =
942
125
x
    The equation is reduced to :
     
2260826533
300000000
x =
942
125
x

    Transposition :
     
2260826533
300000000
x
942
125
x = 0

    
        x=-
280231
125
    
    There are 1 solution(s).


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