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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 -11/3+x = (2+16/9-x)*(2+16/9-x)-4*(2+16/9-x)+3 .
    Question type: Equation
    Solution:Original question:
      - 11 ÷ 3 + x = (2 + 16 ÷ 9 x )(2 + 16 ÷ 9 x )4(2 + 16 ÷ 9 x ) + 3
     Left side of the equation = -
11
3
+ x
    The equation is transformed into :
      -
11
3
+ x = (2 + 16 ÷ 9 x )(2 + 16 ÷ 9 x )4(2 + 16 ÷ 9 x ) + 3
    Remove the bracket on the right of the equation:
     Right side of the equation = 2(2 + 16 ÷ 9 x ) + 16 ÷ 9 × (2 + 16 ÷ 9 x ) x (2 + 16 ÷ 9 x )4(2 + 16 ÷ 9 x ) + 3
                                               = 2(2 + 16 ÷ 9 x ) +
16
9
(2 + 16 ÷ 9 x ) x (2 + 16 ÷ 9 x )4(2 + 16 ÷ 9 x ) + 3
                                               = 2 × 2 + 2 × 16 ÷ 92 x +
16
9
(2 + 16 ÷ 9 x ) x (2 + 16 ÷ 9 x )4
                                               = 4 +
32
9
2 x +
16
9
(2 + 16 ÷ 9 x ) x (2 + 16 ÷ 9 x )4(2 + 16 ÷ 9 x ) + 3
                                               =
95
9
2 x +
16
9
(2 + 16 ÷ 9 x ) x (2 + 16 ÷ 9 x )4(2 + 16 ÷ 9 x )
                                               =
95
9
2 x +
16
9
× 2 +
16
9
× 16 ÷ 9
16
9
x x (2 + 16 ÷ 9 x )
                                               =
95
9
2 x +
32
9
+
256
81
16
9
x x (2 + 16 ÷ 9 x )4(2 + 16 ÷ 9 x )
                                               =
1399
81
34
9
x x (2 + 16 ÷ 9 x )4(2 + 16 ÷ 9 x )
                                               =
1399
81
34
9
x x × 2 x × 16 ÷ 9 + x x 4(2 + 16 ÷ 9 x )
                                               =
1399
81
34
9
x x × 2 x ×
16
9
+ x x 4(2 + 16 ÷ 9 x )
                                               =
1399
81
68
9
x + x x 4(2 + 16 ÷ 9 x )
                                               =
1399
81
68
9
x + x x 4 × 24 × 16 ÷ 9 + 4 x
                                               =
1399
81
68
9
x + x x 8
64
9
+ 4 x
                                               =
175
81
32
9
x + x x
    The equation is transformed into :
      -
11
3
+ x =
175
81
32
9
x + x x
    This equation has no real solution!


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