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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 ((10x+10)-(20x+30)/(3x+6))x = 5x+10 .
    Question type: Equation
    Solution:Original question:
     ((10 x + 10)(20 x + 30) ÷ (3 x + 6)) x = 5 x + 10
    Remove a bracket on the left of the equation::
     (10 x + 10) x (20 x + 30) ÷ (3 x + 6) × x = 5 x + 10
     Multiply both sides of the equation by:(3 x + 6)
     (10 x + 10) x (3 x + 6)(20 x + 30) x = 5 x (3 x + 6) + 10(3 x + 6)
    Remove a bracket on the left of the equation:
     10 x x (3 x + 6) + 10 x (3 x + 6)(20 x + 30) x = 5 x (3 x + 6) + 10(3 x + 6)
    Remove a bracket on the right of the equation::
     10 x x (3 x + 6) + 10 x (3 x + 6)(20 x + 30) x = 5 x × 3 x + 5 x × 6 + 10(3 x + 6)
    The equation is reduced to :
     10 x x (3 x + 6) + 10 x (3 x + 6)(20 x + 30) x = 15 x x + 30 x + 10(3 x + 6)
    Remove a bracket on the left of the equation:
     10 x x × 3 x + 10 x x × 6 + 10 x (3 x + 6) = 15 x x + 30 x + 10(3 x + 6)
    Remove a bracket on the right of the equation::
     10 x x × 3 x + 10 x x × 6 + 10 x (3 x + 6) = 15 x x + 30 x + 10 × 3 x + 10 × 6
    The equation is reduced to :
     30 x x x + 60 x x + 10 x (3 x + 6)(20 x + 30) x = 15 x x + 30 x + 30 x + 60
    The equation is reduced to :
     30 x x x + 60 x x + 10 x (3 x + 6)(20 x + 30) x = 15 x x + 60 x + 60
    Remove a bracket on the left of the equation:
     30 x x x + 60 x x + 10 x × 3 x + 10 = 15 x x + 60 x + 60
    The equation is reduced to :
     30 x x x + 60 x x + 30 x x + 60 x = 15 x x + 60 x + 60
    Remove a bracket on the left of the equation:
     30 x x x + 60 x x + 30 x x + 60 x = 15 x x + 60 x + 60
    The equation is reduced to :
     30 x x x + 60 x x + 30 x x + 30 x = 15 x x + 60 x + 60

    The solution of the equation:
        x1≈-1.752925 , keep 6 decimal places
        x2≈-1.109113 , keep 6 decimal places
        x3≈1.028705 , keep 6 decimal places
    
    There are 3 solution(s).


解程的详细方法请参阅:《方程的解法》



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