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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 68+20x = 4.08(15+0.5x-125/(34+10x)) .
    Question type: Equation
    Solution:Original question:
     68 + 20 x =
102
25
(15 +
1
2
x 125 ÷ (34 + 10 x ))
    Remove a bracket on the right of the equation::
     68 + 20 x =
102
25
× 15 +
102
25
×
1
2
x
102
25
× 125 ÷ (34 + 10 x )
    The equation is reduced to :
     68 + 20 x =
306
5
+
51
25
x 510 ÷ (34 + 10 x )
     Multiply both sides of the equation by:(34 + 10 x )
     68(34 + 10 x ) + 20 x (34 + 10 x ) =
306
5
(34 + 10 x ) +
51
25
x (34 + 10 x )510
    Remove a bracket on the left of the equation:
     68 × 34 + 68 × 10 x + 20 x (34 + 10 x ) =
306
5
(34 + 10 x ) +
51
25
x (34 + 10 x )510
    Remove a bracket on the right of the equation::
     68 × 34 + 68 × 10 x + 20 x (34 + 10 x ) =
306
5
× 34 +
306
5
× 10 x +
51
25
x (34 + 10 x )510
    The equation is reduced to :
     2312 + 680 x + 20 x (34 + 10 x ) =
10404
5
+ 612 x +
51
25
x (34 + 10 x )510
    The equation is reduced to :
     2312 + 680 x + 20 x (34 + 10 x ) =
7854
5
+ 612 x +
51
25
x (34 + 10 x )
    Remove a bracket on the left of the equation:
     2312 + 680 x + 20 x × 34 + 20 x × 10 x =
7854
5
+ 612 x +
51
25
x (34 + 10 x )
    Remove a bracket on the right of the equation::
     2312 + 680 x + 20 x × 34 + 20 x × 10 x =
7854
5
+ 612 x +
51
25
x × 34 +
51
25
x × 10 x
    The equation is reduced to :
     2312 + 680 x + 680 x + 200 x x =
7854
5
+ 612 x +
1734
25
x +
102
5
x x
    The equation is reduced to :
     2312 + 1360 x + 200 x x =
7854
5
+
17034
25
x +
102
5
x x
    
    There are 0 solution(s).


解程的详细方法请参阅:《方程的解法》



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