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 (3+X)*(4+X)*(5+X) = 120 .
    Question type: Equation
    Solution:Original question:
     (3 + X )(4 + X )(5 + X ) = 120
    Remove the bracket on the left of the equation:
     Left side of the equation = 3(4 + X )(5 + X ) + X (4 + X )(5 + X )
                                             = 3 × 4(5 + X ) + 3 X (5 + X ) + X (4 + X )(5 + X )
                                             = 12(5 + X ) + 3 X (5 + X ) + X (4 + X )(5 + X )
                                             = 12 × 5 + 12 X + 3 X (5 + X ) + X (4 + X )(5 + X )
                                             = 60 + 12 X + 3 X (5 + X ) + X (4 + X )(5 + X )
                                             = 60 + 12 X + 3 X × 5 + 3 X X + X (4 + X )(5 + X )
                                             = 60 + 12 X + 15 X + 3 X X + X (4 + X )(5 + X )
                                             = 60 + 27 X + 3 X X + X (4 + X )(5 + X )
                                             = 60 + 27 X + 3 X X + X × 4(5 + X ) + X X (5 + X )
                                             = 60 + 27 X + 3 X X + X × 4 × 5 + X × 4 X
                                             = 60 + 27 X + 3 X X + X × 20 + X × 4 X + X
                                             = 60 + 47 X + 3 X X + X × 4 X + X X (5 + X )
                                             = 60 + 47 X + 3 X X + X × 4 X + X X × 5
    The equation is transformed into :
     60 + 47 X + 3 X X + X × 4 X + X X × 5 = 120

    
        X=1
    
    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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