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           ☆1 equations

[ 1/1 Equation]
    Work: Find the solution of equation 3.43 = x/(75*(1-((((3.14*75*1440)/60000)-(3.14*x*419.83/60000))/((3.14*75*1440)/60000))*100%)) .
    Question type: Equation
    Solution:Original question:
     
343
100
= x ÷ (75(1((((
157
50
× 75 × 1440) ÷ 60000)(
157
50
x ×
41983
100
÷ 60000)) ÷ ((
157
50
× 75 × 1440) ÷ 60000)) ×
100
100
))
     Multiply both sides of the equation by:(75(1((((
157
50
× 75 × 1440) ÷ 60000)(
157
50
x ×
41983
100
÷ 60000)) ÷ ((
157
50
× 75 × 1440) ÷ 60000)) ×
100
100
))
     
343
100
(75(1((((
157
50
× 75 × 1440) ÷ 60000)(
157
50
x ×
41983
100
÷ 60000)) ÷ ((
157
50
× 75 × 1440) ÷ 60000)) ×
100
100
)) = x
    Remove a bracket on the left of the equation::
     
343
100
× 75(1((((
157
50
× 75 × 1440) ÷ 60000)(
157
50
x ×
41983
100
÷ 60000)) ÷ ((
157
50
× 75 × 1440) ÷ 60000)) ×
100
100
) = x
    The equation is reduced to :
     
1029
4
(1((((
157
50
× 75 × 1440) ÷ 60000)(
157
50
x ×
41983
100
÷ 60000)) ÷ ((
157
50
× 75 × 1440) ÷ 60000)) ×
100
100
) = x
    Remove a bracket on the left of the equation:
     
1029
4
× 1
1029
4
((((
157
50
× 75 × 1440) ÷ 60000)(
157
50
x ×
41983
100
÷ 60000)) ÷ ((
157
50
× 75 × 1440) ÷ 60000)) ×
100
100
= x
    The equation is reduced to :
     
1029
4
1029
4
((((
157
50
× 75 × 1440) ÷ 60000)(
157
50
x ×
41983
100
÷ 60000)) ÷ ((
157
50
× 75 × 1440) ÷ 60000)) = x
    Remove a bracket on the left of the equation:
     
1029
4
1029
4
(((
157
50
× 75 × 1440) ÷ 60000)(
157
50
x ×
41983
100
÷ 60000)) ÷ ((
157
50
× 75 × 1440) ÷ 60000) = x
     Multiply both sides of the equation by:((
157
50
× 75 × 1440) ÷ 60000)
     
1029
4
((
157
50
× 75 × 1440) ÷ 60000)
1029
4
(((
157
50
× 75 × 1440) ÷ 60000)(
157
50
x ×
41983
100
÷ 60000)) = x ((
157
50
× 75 × 1440) ÷ 60000)
    Remove a bracket on the left of the equation:
     
1029
4
(
157
50
× 75 × 1440) ÷ 60000
1029
4
(((
157
50
× 75 × 1440) ÷ 60000)(
157
50
x ×
41983
100
÷ 60000)) = x ((
157
50
× 75 × 1440) ÷ 60000)
    Remove a bracket on the right of the equation::
     
1029
4
(
157
50
× 75 × 1440) ÷ 60000
1029
4
(((
157
50
× 75 × 1440) ÷ 60000)(
157
50
x ×
41983
100
÷ 60000)) = x (
157
50
× 75 × 1440) ÷ 60000
    The equation is reduced to :
     
343
80000
(
157
50
× 75 × 1440)
1029
4
(((
157
50
× 75 × 1440) ÷ 60000)(
157
50
x ×
41983
100
÷ 60000)) = x (
157
50
× 75 × 1440) ×
1
60000
    Remove a bracket on the left of the equation:
     
343
80000
×
157
50
× 75 × 1440
1029
4
(((
157
50
× 75 × 1440) ÷ 60000)(
157
50
x ×
41983
100
÷ 60000)) = x (
157
50
× 75 × 1440) ×
1
60000
    Remove a bracket on the right of the equation::
     
343
80000
×
157
50
× 75 × 1440
1029
4
(((
157
50
× 75 × 1440) ÷ 60000)(
157
50
x ×
41983
100
÷ 60000)) = x ×
157
50
× 75 × 1440 ×
1
60000
    The equation is reduced to :
     
1453977
1000
1029
4
(((
157
50
× 75 × 1440) ÷ 60000)(
157
50
x ×
41983
100
÷ 60000)) = x ×
1413
250
    Remove a bracket on the left of the equation:
     
1453977
1000
1029
4
((
157
50
× 75 × 1440) ÷ 60000) +
1029
4
(
157
50
x ×
41983
100
÷ 60000) =
1413
250
x
    Remove a bracket on the left of the equation:
     
1453977
1000
1029
4
(
157
50
× 75 × 1440) ÷ 60000 +
1029
4
(
157
50
x ×
41983
100
÷ 60000) =
1413
250
x
    The equation is reduced to :
     
1453977
1000
343
80000
(
157
50
× 75 × 1440) +
1029
4
(
157
50
x ×
41983
100
÷ 60000) =
1413
250
x
    Remove a bracket on the left of the equation:
     
1453977
1000
343
80000
×
157
50
× 75 × 1440 +
1029
4
(
157
50
x ×
41983
100
÷ 60000) =
1413
250
x
    The equation is reduced to :
     
1453977
1000
1453977
1000
+
1029
4
(
157
50
x ×
41983
100
÷ 60000) =
1413
250
x
    The equation is reduced to :
      0 +
1029
4
(
157
50
x ×
41983
100
÷ 60000) =
1413
250
x
    Remove a bracket on the left of the equation:
     
1029
4
×
157
50
x ×
41983
100
÷ 60000 =
1413
250
x
    The equation is reduced to :
     
2260826533
400000000
x =
1413
250
x

    Transposition :
     
2260826533
400000000
x
1413
250
x = 0

    
        x=-
1196727
1000
    
    There are 1 solution(s).


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