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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 0.95x/3-0.95x/5.44-x/(3*5.44)+x/(5.44*5.44) = 24.65 .
    Question type: Equation
    Solution:Original question:
     
19
20
x ÷ 3
19
20
x ÷
136
25
x ÷ (3 ×
136
25
) + x ÷ (
136
25
×
136
25
) =
493
20
     Multiply both sides of the equation by:(3 ×
136
25
)
     
19
20
x ÷ 3 × (3 ×
136
25
)
19
20
x ÷
136
25
× (3 ×
136
25
) x + x ÷ (
136
25
×
136
25
) × (3 ×
136
25
) =
493
20
(3 ×
136
25
)
    Remove a bracket on the left of the equation::
     
19
20
x ÷ 3 × 3 ×
136
25
19
20
x ÷
136
25
× (3 ×
136
25
) x + x ÷ (
136
25
×
136
25
) =
493
20
(3 ×
136
25
)
    Remove a bracket on the right of the equation::
     
19
20
x ÷ 3 × 3 ×
136
25
19
20
x ÷
136
25
× (3 ×
136
25
) x + x ÷ (
136
25
×
136
25
) =
493
20
× 3 ×
136
25
    The equation is reduced to :
     
646
125
x
95
544
x (3 ×
136
25
) x + x ÷ (
136
25
×
136
25
) × (3 ×
136
25
) =
50286
125
    The equation is reduced to :
     
521
125
x
95
544
x (3 ×
136
25
) + x ÷ (
136
25
×
136
25
) × (3 ×
136
25
) =
50286
125
     Multiply both sides of the equation by:(
136
25
×
136
25
)
     
521
125
x (
136
25
×
136
25
)
95
544
x (3 ×
136
25
)(
136
25
×
136
25
) + x (3 ×
136
25
) =
50286
125
(
136
25
×
136
25
)
    Remove a bracket on the left of the equation:
     
521
125
x ×
136
25
×
136
25
95
544
x (3 ×
136
25
)(
136
25
×
136
25
) + x (3 ×
136
25
) =
50286
125
(
136
25
×
136
25
)
    Remove a bracket on the right of the equation::
     
521
125
x ×
136
25
×
136
25
95
544
x (3 ×
136
25
)(
136
25
×
136
25
) + x (3 ×
136
25
) =
50286
125
×
136
25
×
136
25
    The equation is reduced to :
     
9636416
78125
x
95
544
x (3 ×
136
25
)(
136
25
×
136
25
) + x (3 ×
136
25
) =
930089856
78125
    Remove a bracket on the left of the equation:
     
9636416
78125
x
95
544
x × 3 ×
136
25
(
136
25
×
136
25
) + x (3 ×
136
25
) =
930089856
78125
    The equation is reduced to :
     
9636416
78125
x
57
20
x (
136
25
×
136
25
) + x (3 ×
136
25
) =
930089856
78125
    Remove a bracket on the left of the equation:
     
9636416
78125
x
57
20
x ×
136
25
×
136
25
+ x (3 ×
136
25
) =
930089856
78125
    The equation is reduced to :
     
9636416
78125
x
263568
3125
x + x (3 ×
136
25
) =
930089856
78125
    The equation is reduced to :
     
3047216
78125
x + x (3 ×
136
25
) =
930089856
78125
    Remove a bracket on the left of the equation:
     
3047216
78125
x + x × 3 ×
136
25
=
930089856
78125
    The equation is reduced to :
     
3047216
78125
x + x ×
408
25
=
930089856
78125
    The equation is reduced to :
     
4322216
78125
x =
930089856
78125

    The coefficient of the unknown number is reduced to 1 :
      x =
930089856
78125
÷
4322216
78125
        =
930089856
78125
×
78125
4322216
        = 6838896 ×
1
31781

    We obtained :
      x =
6838896
31781
    This is the solution of the equation.

    Convert the result to decimal form :
      x = 215.188194



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