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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.
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    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 (8m+26)/5*(m-8)/(m+2)+(2m-6)/(m+2) = (8m-64)/5 .
    Question type: Equation
    Solution:Original question:
     (8 m + 26) ÷ 5 × ( m − 8) ÷ ( m + 2) + (2 m − 6) ÷ ( m + 2) = (8 m − 64) ÷ 5
     Multiply both sides of the equation by:( m + 2)
     (8 m + 26) ÷ 5 × ( m − 8) + (2 m − 6) = (8 m − 64) ÷ 5 × ( m + 2)
    Remove a bracket on the left of the equation::
     8 m ÷ 5 × ( m − 8) + 26 ÷ 5 × ( m − 8) + (2 m − 6) = (8 m − 64) ÷ 5 × ( m + 2)
    Remove a bracket on the right of the equation::
     8 m ÷ 5 × ( m − 8) + 26 ÷ 5 × ( m − 8) + (2 m − 6) = 8 m ÷ 5 × ( m + 2) − 64 ÷ 5 × ( m + 2)
    The equation is reduced to :
     
8
5
m ( m − 8) +
26
5
( m − 8) + (2 m − 6) =
8
5
m ( m + 2) −
64
5
( m + 2)
    Remove a bracket on the left of the equation:
     
8
5
m m −
8
5
m × 8 +
26
5
( m − 8) + (2 m − 6) =
8
5
m ( m + 2) −
64
5
( m + 2)
    Remove a bracket on the right of the equation::
     
8
5
m m −
8
5
m × 8 +
26
5
( m − 8) + (2 m − 6) =
8
5
m m +
8
5
m × 2 −
64
5
( m + 2)
    The equation is reduced to :
     
8
5
m m −
64
5
m +
26
5
( m − 8) + (2 m − 6) =
8
5
m m +
16
5
m −
64
5
( m + 2)
    Remove a bracket on the left of the equation:
     
8
5
m m −
64
5
m +
26
5
m −
26
5
× 8 + (2 m − 6) =
8
5
m m +
16
5
m −
64
5
( m + 2)
    Remove a bracket on the right of the equation::
     
8
5
m m −
64
5
m +
26
5
m −
26
5
× 8 + (2 m − 6) =
8
5
m m +
16
5
m −
64
5
m −
64
5
× 2
    The equation is reduced to :
     
8
5
m m −
64
5
m +
26
5
m −
208
5
+ (2 m − 6) =
8
5
m m +
16
5
m −
64
5
m −
128
5
    The equation is reduced to :
     
8
5
m m −
38
5
m −
208
5
+ (2 m − 6) =
8
5
m m −
48
5
m −
128
5
    Remove a bracket on the left of the equation:
     
8
5
m m −
38
5
m −
208
5
+ 2 m − 6 =
8
5
m m −
48
5
m −
128
5
    The equation is reduced to :
     
8
5
m m −
28
5
m −
238
5
=
8
5
m m −
48
5
m −
128
5

    
        m1=
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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