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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 0.66*0.92+(5.62+0.66)*0.08*x+(70+5.62+0.66)*0.08*(1-x) = 3.74 .
    Question type: Equation
    Solution:Original question:
     
33
50
 ×
23
25
 + (
281
50
 +
33
50
) ×
2
25
 x + (70 +
281
50
 +
33
50
) ×
2
25
(1 − x ) =
187
50
     Left side of the equation =
759
1250
 + (
281
50
 +
33
50
) ×
2
25
 x + (70 +
281
50
 +
33
50
) ×
2
25
(1 − x )
    The equation is transformed into :
     
759
1250
 + (
281
50
 +
33
50
) ×
2
25
 x + (70 +
281
50
 +
33
50
) ×
2
25
(1 − x ) =
187
50
    Remove the bracket on the left of the equation:
     Left side of the equation =
759
1250
 +
281
50
 ×
2
25
 x +
33
50
 ×
2
25
 x + (70 +
281
50
 +
33
50
) ×
2
25
(1 − x )
                                             =
759
1250
 +
281
625
 x +
33
625
 x + (70 +
281
50
 +
33
50
) ×
2
25
(1 − x )
                                             =
759
1250
 +
314
625
 x + (70 +
281
50
 +
33
50
) ×
2
25
(1 − x )
                                             =
759
1250
 +
314
625
 x + 70 ×
2
25
(1 − x ) +
281
50
 ×
2
25
(1 − x ) +
33
50
 ×
2
25
(1 − x )
                                             =
759
1250
 +
314
625
 x +
28
5
(1 − x ) +
281
625
(1 − x ) +
33
625
(1 − x )
                                             =
759
1250
 +
314
625
 x +
28
5
 × 1 −
28
5
 x +
281
625
(1 − x ) +
33
625
(1 − x )
                                             =
759
1250
 +
314
625
 x +
28
5
 −
28
5
 x +
281
625
(1 − x ) +
33
625
(1 − x )
                                             =
7759
1250
 −
3186
625
 x +
281
625
(1 − x ) +
33
625
(1 − x )
                                             =
7759
1250
 −
3186
625
 x +
281
625
 × 1 −
281
625
 x +
33
625
(1 − x )
                                             =
7759
1250
 −
3186
625
 x +
281
625
 −
281
625
 x +
33
625
(1 − x )
                                             =
8321
1250
 −
3467
625
 x +
33
625
(1 − x )
                                             =
8321
1250
 −
3467
625
 x +
33
625
 × 1 −
33
625
 x
                                             =
8321
1250
 −
3467
625
 x +
33
625
 −
33
625
 x
                                             =
8387
1250
 −
28
5
 x
    The equation is transformed into :
     
8387
1250
 −
28
5
 x =
187
50

    Transposition :
      -
28
5
 x =
187
50
 −
8387
1250

    Combine the items on the right of the equation:
      -
28
5
 x = -
1856
625

    By shifting the terms and changing the symbols on toth sides of the equation, we obtain :
     
1856
625
 =
28
5
 x

    If the left side of the equation is equal to the right side, then the right side must also be equal to the left side, that is :
     
28
5
 x =
1856
625

    The coefficient of the unknown number is reduced to 1 :
      x =
1856
625
 ÷
28
5
        =
1856
625
 ×
5
28
        =
464
125
 ×
1
7

    We obtained :
      x =
464
875
    This is the solution of the equation.

    Convert the result to decimal form :
      x = 0.530286



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