Mathematics
         
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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+7/9×(20-45÷(2/3x)) = 6 .
    Question type: Equation
    Solution:Original question:
      x + 7 ÷ 9 × (2045 ÷ (2 ÷ 3 × x )) = 6
    Remove a bracket on the left of the equation::
      x + 7 ÷ 9 × 207 ÷ 9 × 45 ÷ (2 ÷ 3 × x ) = 6
    The equation is reduced to :
      x +
140
9
35 ÷ (2 ÷ 3 × x ) = 6
     Multiply both sides of the equation by:(2 ÷ 3 × x )
      x (2 ÷ 3 × x ) +
140
9
(2 ÷ 3 × x )35 = 6(2 ÷ 3 × x )
    Remove a bracket on the left of the equation:
      x × 2 ÷ 3 × x +
140
9
(2 ÷ 3 × x )35 = 6(2 ÷ 3 × x )
    Remove a bracket on the right of the equation::
      x × 2 ÷ 3 × x +
140
9
(2 ÷ 3 × x )35 = 6 × 2 ÷ 3 × x
    The equation is reduced to :
      x ×
2
3
x +
140
9
(2 ÷ 3 × x )35 = 4 x
    Remove a bracket on the left of the equation:
      x ×
2
3
x +
140
9
× 2 ÷ 3 × x 35 = 4 x
    The equation is reduced to :
      x ×
2
3
x +
280
27
x 35 = 4 x

    The solution of the equation:
        x1≈-13.456900 , keep 6 decimal places
        x2≈3.901344 , keep 6 decimal places
    
    There are 2 solution(s).


解程的详细方法请参阅:《方程的解法》



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