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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 ((x+98)/(x+235)+((81+x)/(98+x))*2)/3 = 0.95 .
    Question type: Equation
    Solution:Original question:
     (( x + 98) ÷ ( x + 235) + ((81 + x ) ÷ (98 + x )) × 2) ÷ 3 =
19
20
    Remove a bracket on the left of the equation::
     ( x + 98) ÷ ( x + 235) ÷ 3 + ((81 + x ) ÷ (98 + x )) × 2 ÷ 3 =
19
20
    The equation is reduced to :
     ( x + 98) ÷ ( x + 235) ×
1
3
+ ((81 + x ) ÷ (98 + x )) ×
2
3
=
19
20
     Multiply both sides of the equation by:( x + 235)
     ( x + 98) ×
1
3
+ ((81 + x ) ÷ (98 + x )) ×
2
3
( x + 235) =
19
20
( x + 235)
    Remove a bracket on the left of the equation:
      x ×
1
3
+ 98 ×
1
3
+ ((81 + x ) ÷ (98 + x )) ×
2
3
( x + 235) =
19
20
( x + 235)
    Remove a bracket on the right of the equation::
      x ×
1
3
+ 98 ×
1
3
+ ((81 + x ) ÷ (98 + x )) ×
2
3
( x + 235) =
19
20
x +
19
20
× 235
    The equation is reduced to :
      x ×
1
3
+
98
3
+ ((81 + x ) ÷ (98 + x )) ×
2
3
( x + 235) =
19
20
x +
893
4
    Remove a bracket on the left of the equation:
     
1
3
x +
98
3
+ (81 + x ) ÷ (98 + x ) ×
2
3
( x + 235) =
19
20
x +
893
4
     Multiply both sides of the equation by:(98 + x )
     
1
3
x (98 + x ) +
98
3
(98 + x ) + (81 + x ) ×
2
3
( x + 235) =
19
20
x (98 + x ) +
893
4
(98 + x )
    Remove a bracket on the left of the equation:
     
1
3
x × 98 +
1
3
x x +
98
3
(98 + x ) + (81 + x ) ×
2
3
( x + 235) =
19
20
x (98 + x ) +
893
4
(98 + x )
    Remove a bracket on the right of the equation::
     
1
3
x × 98 +
1
3
x x +
98
3
(98 + x ) + (81 + x ) ×
2
3
( x + 235) =
19
20
x × 98 +
19
20
x x +
893
4
(98 + x )
    The equation is reduced to :
     
98
3
x +
1
3
x x +
98
3
(98 + x ) + (81 + x ) ×
2
3
( x + 235) =
931
10
x +
19
20
x x +
893
4
(98 + x )
    Remove a bracket on the left of the equation:
     
98
3
x +
1
3
x x +
98
3
× 98 +
98
3
x + (81 + x ) ×
2
3
( x + 235) =
931
10
x +
19
20
x x +
893
4
(98 + x )
    Remove a bracket on the right of the equation::
     
98
3
x +
1
3
x x +
98
3
× 98 +
98
3
x + (81 + x ) ×
2
3
( x + 235) =
931
10
x +
19
20
x x +
893
4
× 98 +
893
4
x
    The equation is reduced to :
     
98
3
x +
1
3
x x +
9604
3
+
98
3
x + (81 + x ) ×
2
3
( x + 235) =
931
10
x +
19
20
x x +
43757
2
+
893
4
x
    The equation is reduced to :
     
196
3
x +
1
3
x x +
9604
3
+ (81 + x ) ×
2
3
( x + 235) =
6327
20
x +
19
20
x x +
43757
2
    Remove a bracket on the left of the equation:
     
196
3
x +
1
3
x x +
9604
3
+ 81 ×
2
3
( x + 235) + x ×
2
3
( x + 235) =
6327
20
x +
19
20
x x +
43757
2
    The equation is reduced to :
     
196
3
x +
1
3
x x +
9604
3
+ 54( x + 235) + x ×
2
3
( x + 235) =
6327
20
x +
19
20
x x +
43757
2
    Remove a bracket on the left of the equation:
     
196
3
x +
1
3
x x +
9604
3
+ 54 x + 54 × 235 + x ×
2
3
=
6327
20
x +
19
20
x x +
43757
2
    The equation is reduced to :
     
196
3
x +
1
3
x x +
9604
3
+ 54 x + 12690 + x ×
2
3
( x + 235) =
6327
20
x +
19
20
x x +
43757
2
    The equation is reduced to :
     
358
3
x +
1
3
x x +
47674
3
+ x ×
2
3
( x + 235) =
6327
20
x +
19
20
x x +
43757
2
    Remove a bracket on the left of the equation:
     
358
3
x +
1
3
x x +
47674
3
+ x ×
2
3
x + x ×
2
3
× 235 =
6327
20
x +
19
20
x x +
43757
2
    The equation is reduced to :
     
358
3
x +
1
3
x x +
47674
3
+ x ×
2
3
x + x ×
470
3
=
6327
20
x +
19
20
x x +
43757
2
    The equation is reduced to :
     276 x +
1
3
x x +
47674
3
+ x ×
2
3
x =
6327
20
x +
19
20
x x +
43757
2
    The equation can be reduced to :
     276 x +
1
3
x x +
47674
3
+ x ×
2
3
x =
6327
20
x +
19
20
x x +
43757
2

    
        x≈-128.059576 , keep 6 decimal places
    
    There are 1 solution(s).


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