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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 ÷ 9 − 2 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 × 2 − 4 × 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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