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On line Solution of Monovariate Equation:
    Input any unary equation directly, and then click the "Next" button to obtain the solution of the equation.
    It supports equations that contain mathematical functions.
    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 (4x/5+2/9)/[15x/(12+2x)+5/2] = 5/3 .
    Question type: Equation
    Solution:Original question:
     (4 x ÷ 5 + 2 ÷ 9) ÷ (15 x ÷ (12 + 2 x ) + 5 ÷ 2) = 5 ÷ 3
     Multiply both sides of the equation by:(15 x ÷ (12 + 2 x ) + 5 ÷ 2)
     (4 x ÷ 5 + 2 ÷ 9) = 5 ÷ 3 × (15 x ÷ (12 + 2 x ) + 5 ÷ 2)
    Remove a bracket on the left of the equation::
     4 x ÷ 5 + 2 ÷ 9 = 5 ÷ 3 × (15 x ÷ (12 + 2 x ) + 5 ÷ 2)
    Remove a bracket on the right of the equation::
     4 x ÷ 5 + 2 ÷ 9 = 5 ÷ 3 × 15 x ÷ (12 + 2 x ) + 5 ÷ 3 × 5 ÷ 2
    The equation is reduced to :
     
4
5
x +
2
9
= 25 x ÷ (12 + 2 x ) +
25
6
     Multiply both sides of the equation by:(12 + 2 x )
     
4
5
x (12 + 2 x ) +
2
9
(12 + 2 x ) = 25 x +
25
6
(12 + 2 x )
    Remove a bracket on the left of the equation:
     
4
5
x × 12 +
4
5
x × 2 x +
2
9
(12 + 2 x ) = 25 x +
25
6
(12 + 2 x )
    Remove a bracket on the right of the equation::
     
4
5
x × 12 +
4
5
x × 2 x +
2
9
(12 + 2 x ) = 25 x +
25
6
× 12 +
25
6
× 2 x
    The equation is reduced to :
     
48
5
x +
8
5
x x +
2
9
(12 + 2 x ) = 25 x + 50 +
25
3
x
    The equation is reduced to :
     
48
5
x +
8
5
x x +
2
9
(12 + 2 x ) =
100
3
x + 50
    Remove a bracket on the left of the equation:
     
48
5
x +
8
5
x x +
2
9
× 12 +
2
9
× 2 x =
100
3
x + 50
    The equation is reduced to :
     
48
5
x +
8
5
x x +
8
3
+
4
9
x =
100
3
x + 50
    The equation is reduced to :
     
452
45
x +
8
5
x x +
8
3
=
100
3
x + 50

    The solution of the equation:
        x1≈-1.807891 , keep 6 decimal places
        x2≈16.363447 , keep 6 decimal places
    
    There are 2 solution(s).


解程的详细方法请参阅:《方程的解法》



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