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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 5+(45+x)+5÷(50+x) = 47 .
    Question type: Equation
    Solution:Original question:
     5 + (45 + x ) + 5 ÷ (50 + x ) = 47
     Multiply both sides of the equation by:(50 + x )
     5(50 + x ) + (45 + x )(50 + x ) + 5 = 47(50 + x )
    Remove a bracket on the left of the equation::
     5 × 50 + 5 x + (45 + x )(50 + x ) + 5 = 47(50 + x )
    Remove a bracket on the right of the equation::
     5 × 50 + 5 x + (45 + x )(50 + x ) + 5 = 47 × 50 + 47 x
    The equation is reduced to :
     250 + 5 x + (45 + x )(50 + x ) + 5 = 2350 + 47 x
    The equation is reduced to :
     255 + 5 x + (45 + x )(50 + x ) = 2350 + 47 x
    Remove a bracket on the left of the equation:
     255 + 5 x + 45(50 + x ) + x (50 + x ) = 2350 + 47 x
    Remove a bracket on the left of the equation:
     255 + 5 x + 45 × 50 + 45 x + x (50 + x ) = 2350 + 47 x
    The equation is reduced to :
     255 + 5 x + 2250 + 45 x + x (50 + x ) = 2350 + 47 x
    The equation is reduced to :
     2505 + 50 x + x (50 + x ) = 2350 + 47 x
    Remove a bracket on the left of the equation:
     2505 + 50 x + x × 50 + x x = 2350 + 47 x
    The equation is reduced to :
     2505 + 100 x + x x = 2350 + 47 x

    The solution of the equation:
        x1≈-49.893375 , keep 6 decimal places
        x2≈-3.106625 , 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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