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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 18.75-2.25m = 6/【3/4m-(9/4)】+2 .
    Question type: Equation
    Solution:Original question:
     
75
4
 −
9
4
 m = 6 ÷ (3 ÷ 4 × m − (9 ÷ 4)) + 2
     Multiply both sides of the equation by:(3 ÷ 4 × m − (9 ÷ 4))
     
75
4
(3 ÷ 4 × m − (9 ÷ 4)) −
9
4
 m (3 ÷ 4 × m − (9 ÷ 4)) = 6 + 2(3 ÷ 4 × m − (9 ÷ 4))
    Remove a bracket on the left of the equation:：
     
75
4
 × 3 ÷ 4 × m −
75
4
(9 ÷ 4) −
9
4
 m (3 ÷ 4 × m − (9 ÷ 4)) = 6 + 2(3 ÷ 4 × m − (9 ÷ 4))
    Remove a bracket on the right of the equation:：
     
75
4
 × 3 ÷ 4 × m −
75
4
(9 ÷ 4) −
9
4
 m (3 ÷ 4 × m − (9 ÷ 4)) = 6 + 2 × 3 ÷ 4 × m − 2(9 ÷ 4)
    The equation is reduced to :
     
225
16
 m −
75
4
(9 ÷ 4) −
9
4
 m (3 ÷ 4 × m − (9 ÷ 4)) = 6 +
3
2
 m − 2(9 ÷ 4)
    Remove a bracket on the left of the equation:
     
225
16
 m −
75
4
 × 9 ÷ 4 −
9
4
 m (3 ÷ 4 × m − (9 ÷ 4)) = 6 +
3
2
 m − 2(9 ÷ 4)
    Remove a bracket on the right of the equation:：
     
225
16
 m −
75
4
 × 9 ÷ 4 −
9
4
 m (3 ÷ 4 × m − (9 ÷ 4)) = 6 +
3
2
 m − 2 × 9 ÷ 4
    The equation is reduced to :
     
225
16
 m −
675
16
 −
9
4
 m (3 ÷ 4 × m − (9 ÷ 4)) = 6 +
3
2
 m −
9
2
    The equation is reduced to :
     
225
16
 m −
675
16
 −
9
4
 m (3 ÷ 4 × m − (9 ÷ 4)) =
3
2
 +
3
2
 m
    Remove a bracket on the left of the equation:
     
225
16
 m −
675
16
 −
9
4
 m × 3 ÷ 4 × m +
9
4
 m (9 ÷ 4) =
3
2
 +
3
2
 m
    The equation is reduced to :
     
225
16
 m −
675
16
 −
27
16
 m m +
9
4
 m (9 ÷ 4) =
3
2
 +
3
2
 m
    Remove a bracket on the left of the equation:
     
225
16
 m −
675
16
 −
27
16
 m m +
9
4
 m × 9 ÷ 4 =
3
2
 +
3
2
 m
    The equation is reduced to :
     
225
16
 m −
675
16
 −
27
16
 m m +
81
16
 m =
3
2
 +
3
2
 m
    The equation is reduced to :
     
153
8
 m −
675
16
 −
27
16
 m m =
3
2
 +
3
2
 m

    The solution of the equation:
        m1≈4.046333 , keep 6 decimal places
        m2≈6.398112 , 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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