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    Current location:Equations > Monovariate Equation > The history of univariate equation calculation > Answer

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           ☆1 equations

[ 1/1 Equation]
    Work: Find the solution of equation ((720000+5a)/(144000*a))*1/(0.0333+(144000a/(144000+a))+(1/60000)) = 0.3 .
    Question type: Equation
    Solution:Original question:
     ((720000 + 5 a ) ÷ (144000 a )) × 1 ÷ (
333
10000
+ (144000 a ÷ (144000 + a )) + (1 ÷ 60000)) =
3
10
     Multiply both sides of the equation by:(
333
10000
+ (144000 a ÷ (144000 + a )) + (1 ÷ 60000))
     ((720000 + 5 a ) ÷ (144000 a )) × 1 =
3
10
(
333
10000
+ (144000 a ÷ (144000 + a )) + (1 ÷ 60000))
    Remove a bracket on the left of the equation::
     (720000 + 5 a ) ÷ (144000 a ) × 1 =
3
10
(
333
10000
+ (144000 a ÷ (144000 + a )) + (1 ÷ 60000))
    Remove a bracket on the right of the equation::
     (720000 + 5 a ) ÷ (144000 a ) × 1 =
3
10
×
333
10000
+
3
10
(144000 a ÷ (144000 + a )) +
3
10
(1 ÷ 60000)
    The equation is reduced to :
     (720000 + 5 a ) ÷ (144000 a ) × 1 =
999
100000
+
3
10
(144000 a ÷ (144000 + a )) +
3
10
(1 ÷ 60000)
     Multiply both sides of the equation by:(144000 a )
     (720000 + 5 a ) × 1 =
999
100000
(144000 a ) +
3
10
(144000 a ÷ (144000 + a ))(144000 a ) +
3
10
(1 ÷ 60000)(144000 a )
    Remove a bracket on the left of the equation:
     720000 × 1 + 5 a × 1 =
999
100000
(144000 a ) +
3
10
(144000 a ÷ (144000 + a ))(144000 a ) +
3
10
(1 ÷ 60000)(144000 a )
    Remove a bracket on the right of the equation::
     720000 × 1 + 5 a × 1 =
999
100000
× 144000 a +
3
10
(144000 a ÷ (144000 + a ))(144000 a ) +
3
10
(1 ÷ 60000)(144000 a )
    The equation is reduced to :
     720000 + 5 a =
35964
25
a +
3
10
(144000 a ÷ (144000 + a ))(144000 a ) +
3
10
(1 ÷ 60000)(144000 a )
    Remove a bracket on the right of the equation::
     720000 + 5 a =
35964
25
a +
3
10
× 144000 a ÷ (144000 + a ) × (144000 a ) +
3
10
(1 ÷ 60000)(144000 a )
    The equation is reduced to :
     720000 + 5 a =
35964
25
a + 43200 a ÷ (144000 + a ) × (144000 a ) +
3
10
(1 ÷ 60000)(144000 a )
     Multiply both sides of the equation by:(144000 + a )
     720000(144000 + a ) + 5 a (144000 + a ) =
35964
25
a (144000 + a ) + 43200 a (144000 a ) +
3
10
(1 ÷ 60000)(144000 a )(144000 + a )
    Remove a bracket on the left of the equation:
     720000 × 144000 + 720000 a + 5 a (144000 + a ) =
35964
25
a (144000 + a ) + 43200 a (144000 a ) +
3
10
(1 ÷ 60000)(144000 a )(144000 + a )
    Remove a bracket on the right of the equation::
     720000 × 144000 + 720000 a + 5 a (144000 + a ) =
35964
25
a × 144000 +
35964
25
a a + 43200 a (144000 a ) +
3
10
(1 ÷ 60000)(144000 a )
    
    There are 0 solution(s).


解程的详细方法请参阅:《方程的解法》



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