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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 (2*x+11)/[(x+2)*(x+9)] = (2*x+11)/[(x+3)*(x+8)] .
    Question type: Equation
    Solution:Original question:
     (2 x + 11) ÷ (( x + 2)( x + 9)) = (2 x + 11) ÷ (( x + 3)( x + 8))
     Multiply both sides of the equation by:(( x + 2)( x + 9)) ,  (( x + 3)( x + 8))
     (2 x + 11)(( x + 3)( x + 8)) = (2 x + 11)(( x + 2)( x + 9))
    Remove a bracket on the left of the equation::
     2 x (( x + 3)( x + 8)) + 11(( x + 3)( x + 8)) = (2 x + 11)(( x + 2)( x + 9))
    Remove a bracket on the right of the equation::
     2 x (( x + 3)( x + 8)) + 11(( x + 3)( x + 8)) = 2 x (( x + 2)( x + 9)) + 11(( x + 2)( x + 9))
    Remove a bracket on the left of the equation:
     2 x ( x + 3)( x + 8) + 11(( x + 3)( x + 8)) = 2 x (( x + 2)( x + 9)) + 11(( x + 2)( x + 9))
    Remove a bracket on the right of the equation::
     2 x ( x + 3)( x + 8) + 11(( x + 3)( x + 8)) = 2 x ( x + 2)( x + 9) + 11(( x + 2)( x + 9))
    Remove a bracket on the left of the equation:
     2 x x ( x + 8) + 2 x × 3( x + 8) + 11(( x + 3)( x + 8)) = 2 x ( x + 2)( x + 9) + 11(( x + 2)( x + 9))
    Remove a bracket on the right of the equation::
     2 x x ( x + 8) + 2 x × 3( x + 8) + 11(( x + 3)( x + 8)) = 2 x x ( x + 9) + 2 x × 2( x + 9) + 11(( x + 2)( x + 9))
    The equation is reduced to :
     2 x x ( x + 8) + 6 x ( x + 8) + 11(( x + 3)( x + 8)) = 2 x x ( x + 9) + 4 x ( x + 9) + 11(( x + 2)( x + 9))
    Remove a bracket on the left of the equation:
     2 x x x + 2 x x × 8 + 6 x ( x + 8) + 11 = 2 x x ( x + 9) + 4 x ( x + 9) + 11(( x + 2)( x + 9))
    Remove a bracket on the right of the equation::
     2 x x x + 2 x x × 8 + 6 x ( x + 8) + 11 = 2 x x x + 2 x x × 9 + 4 x ( x + 9) + 11
    The equation is reduced to :
     2 x x x + 16 x x + 6 x ( x + 8) + 11(( x + 3)( x + 8)) = 2 x x x + 18 x x + 4 x ( x + 9) + 11(( x + 2)( x + 9))
    Remove a bracket on the left of the equation:
     2 x x x + 16 x x + 6 x x + 6 x = 2 x x x + 18 x x + 4 x ( x + 9) + 11(( x + 2)( x + 9))
    Remove a bracket on the right of the equation::
     2 x x x + 16 x x + 6 x x + 6 x = 2 x x x + 18 x x + 4 x x + 4 x
    The equation is reduced to :
     2 x x x + 16 x x + 6 x x + 48 x = 2 x x x + 18 x x + 4 x x + 36 x
    Remove a bracket on the left of the equation:
     2 x x x + 16 x x + 6 x x + 48 x = 2 x x x + 18 x x + 4 x x + 36 x
    Remove a bracket on the right of the equation::
     2 x x x + 16 x x + 6 x x + 48 x = 2 x x x + 18 x x + 4 x x + 36 x
    Remove a bracket on the left of the equation:
     2 x x x + 16 x x + 6 x x + 48 x = 2 x x x + 18 x x + 4 x x + 36 x
    Remove a bracket on the right of the equation::
     2 x x x + 16 x x + 6 x x + 48 x = 2 x x x + 18 x x + 4 x x + 36 x
    The equation is reduced to :
     2 x x x + 16 x x + 6 x x + 48 x = 2 x x x + 18 x x + 4 x x + 36 x
    Remove a bracket on the left of the equation:
     2 x x x + 16 x x + 6 x x + 48 x = 2 x x x + 18 x x + 4 x x + 36 x
    Remove a bracket on the right of the equation::
     2 x x x + 16 x x + 6 x x + 48 x = 2 x x x + 18 x x + 4 x x + 36 x
    The equation is reduced to :
     2 x x x + 16 x x + 6 x x + 48 x = 2 x x x + 18 x x + 4 x x + 36 x
    The equation is reduced to :
     2 x x x + 16 x x + 6 x x + 136 x = 2 x x x + 18 x x + 4 x x + 135 x

    
        x1=-
11
2
    
    There are 1 solution(s).


解一元一次方程的详细方法请参阅:《一元一次方程的解法》



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