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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 (1+m%)*300[1+(m/2)%] = 66 .
    Question type: Equation
    Solution:Original question:
     (1 + m ) × 300(1 + ( m ÷ 2) ×
1
100
) = 66
    Remove the bracket on the left of the equation:
     Left side of the equation = 1 × 300(1 + ( m ÷ 2) ×
1
100
) + m × 300(1 + ( m ÷ 2) ×
1
100
)
                                             = 300(1 + ( m ÷ 2) ×
1
100
) + m × 300(1 + ( m ÷ 2) ×
1
100
)
                                             = 300 × 1 + 300( m ÷ 2) ×
1
100
+ m × 300(1 + ( m ÷ 2) ×
1
100
)
                                             = 300 + 3( m ÷ 2) + m × 300(1 + ( m ÷ 2) ×
1
100
)
                                             = 300 + 3 m ÷ 2 + m × 300(1 + ( m ÷ 2) ×
1
100
)
                                             = 300 +
3
2
m + m × 300(1 + ( m ÷ 2) ×
1
100
)
                                             = 300 +
3
2
m + m × 300 × 1 + m × 300( m ÷ 2) ×
1
100
                                             = 300 +
3
2
m + m × 300 + m × 3( m ÷ 2)
                                             = 300 +
603
2
m + m × 3( m ÷ 2)
                                             = 300 +
603
2
m + m × 3 m ÷ 2
                                             = 300 +
603
2
m + m ×
3
2
m
    The equation is transformed into :
     300 +
603
2
m + m ×
3
2
m = 66

    
        m≈-66.933761 , keep 6 decimal places
    
    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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