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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 3*0.001x = (6/(x-2*0.001+(76.8x/76.8+x))-1.5*0.001)*76.8 .
    Question type: Equation
    Solution:Original question:
     3 ×
1
1000
x = (6 ÷ ( x 2 ×
1
1000
+ (
384
5
x ÷
384
5
+ x ))
3
2
×
1
1000
) ×
384
5
    Remove a bracket on the right of the equation::
     3 ×
1
1000
x = 6 ÷ ( x 2 ×
1
1000
+ (
384
5
x ÷
384
5
+ x )) ×
384
5
3
2
×
1
1000
×
384
5
    The equation is reduced to :
     
3
1000
x =
2304
5
÷ ( x 2 ×
1
1000
+ (
384
5
x ÷
384
5
+ x ))
72
625
     Multiply both sides of the equation by:( x 2 ×
1
1000
+ (
384
5
x ÷
384
5
+ x ))
     
3
1000
x ( x 2 ×
1
1000
+ (
384
5
x ÷
384
5
+ x )) =
2304
5
72
625
( x 2 ×
1
1000
+ (
384
5
x ÷
384
5
+ x ))
    Remove a bracket on the left of the equation:
     
3
1000
x x
3
1000
x × 2 ×
1
1000
+
3
1000
x (
384
5
x ÷
384
5
+ x ) =
2304
5
72
625
( x 2 ×
1
1000
+ (
384
5
x ÷
384
5
+ x ))
    Remove a bracket on the right of the equation::
     
3
1000
x x
3
1000
x × 2 ×
1
1000
+
3
1000
x (
384
5
x ÷
384
5
+ x ) =
2304
5
72
625
x +
72
625
× 2 ×
1
1000
72
625
(
384
5
x ÷
384
5
+ x )
    The equation is reduced to :
     
3
1000
x x
3
500000
x +
3
1000
x (
384
5
x ÷
384
5
+ x ) =
2304
5
72
625
x +
18
78125
72
625
(
384
5
x ÷
384
5
+ x )
    The equation is reduced to :
     
3
1000
x x
3
500000
x +
3
1000
x (
384
5
x ÷
384
5
+ x ) =
36000018
78125
72
625
x
72
625
(
384
5
x ÷
384
5
+ x )
    Remove a bracket on the left of the equation:
     
3
1000
x x
3
500000
x +
3
1000
x ×
384
5
x ÷
384
5
+
3
1000
x =
36000018
78125
72
625
x
72
625
(
384
5
x ÷
384
5
+ x )
    Remove a bracket on the right of the equation::
     
3
1000
x x
3
500000
x +
3
1000
x ×
384
5
x ÷
384
5
+
3
1000
x =
36000018
78125
72
625
x
72
625
×
384
5
x ÷
384
5
72
625
x
    The equation is reduced to :
     
3
1000
x x
3
500000
x +
3
1000
x x +
3
1000
x x =
36000018
78125
72
625
x
72
625
x
72
625
x
    The equation is reduced to :
     
3
1000
x x
3
500000
x +
3
1000
x x +
3
1000
x x =
36000018
78125
216
625
x

    
        x=0, it is the incremental root of the eqution.
    
    There are 1 solution(s).

    There is(are) 1 additive root(s) and 0 real solutions.
(Note:additive root, generated by computer, but not suitable for this equation.)


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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