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    Input any unary equation directly, and then click the "Next" button to obtain the solution of the 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 (6.66+x)/(6.66-x)*(15+6.09+x)/(0.03+x/222) = 20000 .
    Question type: Equation
    Solution:Original question:
     (
333
50
+ x ) ÷ (
333
50
x ) × (15 +
609
100
+ x ) ÷ (
3
100
+ x ÷ 222) = 20000
     Multiply both sides of the equation by:(
333
50
x )
     (
333
50
+ x )(15 +
609
100
+ x ) ÷ (
3
100
+ x ÷ 222) = 20000(
333
50
x )
    Remove a bracket on the left of the equation::
     
333
50
(15 +
609
100
+ x ) ÷ (
3
100
+ x ÷ 222) + x (15 +
609
100
+ x ) ÷ (
3
100
+ x ÷ 222) = 20000(
333
50
x )
    Remove a bracket on the right of the equation::
     
333
50
(15 +
609
100
+ x ) ÷ (
3
100
+ x ÷ 222) + x (15 +
609
100
+ x ) ÷ (
3
100
+ x ÷ 222) = 20000 ×
333
50
20000 x
    The equation is reduced to :
     
333
50
(15 +
609
100
+ x ) ÷ (
3
100
+ x ÷ 222) + x (15 +
609
100
+ x ) ÷ (
3
100
+ x ÷ 222) = 13320020000 x
     Multiply both sides of the equation by:(
3
100
+ x ÷ 222)
     
333
50
(15 +
609
100
+ x ) + x (15 +
609
100
+ x ) = 133200(
3
100
+ x ÷ 222)20000 x (
3
100
+ x ÷ 222)
    Remove a bracket on the left of the equation:
     
333
50
× 15 +
333
50
×
609
100
+
333
50
x + x (15 +
609
100
+ x ) = 133200(
3
100
+ x ÷ 222)20000 x (
3
100
+ x ÷ 222)
    Remove a bracket on the right of the equation::
     
333
50
× 15 +
333
50
×
609
100
+
333
50
x + x (15 +
609
100
+ x ) = 133200 ×
3
100
+ 133200 x ÷ 22220000 x (
3
100
+ x ÷ 222)
    The equation is reduced to :
     
999
10
+
202797
5000
+
333
50
x + x (15 +
609
100
+ x ) = 3996 + 600 x 20000 x (
3
100
+ x ÷ 222)
    The equation is reduced to :
     
702297
5000
+
333
50
x + x (15 +
609
100
+ x ) = 3996 + 600 x 20000 x (
3
100
+ x ÷ 222)
    Remove a bracket on the left of the equation:
     
702297
5000
+
333
50
x + x × 15 + x ×
609
100
+ x x = 3996 + 600 x 20000 x (
3
100
+ x ÷ 222)
    Remove a bracket on the right of the equation::
     
702297
5000
+
333
50
x + x × 15 + x ×
609
100
+ x x = 3996 + 600 x 20000 x ×
3
100
20000 x x ÷ 222
    The equation is reduced to :
     
702297
5000
+
333
50
x + x × 15 + x ×
609
100
+ x x = 3996 + 600 x 600 x
10000
111
x x
    The equation is reduced to :
     
702297
5000
+
111
4
x + x x = 3996 + 0 x
10000
111
x x

    
        x≈6.355357 , keep 6 decimal places
    
    There are 1 solution(s).


解一元一次方程的详细方法请参阅:《一元一次方程的解法》



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