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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 (42+x)/54 = (150+2*x)/(96+x) .
    Question type: Equation
    Solution:Original question:
     (42 + x ) ÷ 54 = (150 + 2 x ) ÷ (96 + x )
     Multiply both sides of the equation by:(96 + x )
     (42 + x ) ÷ 54 × (96 + x ) = (150 + 2 x )
    Remove a bracket on the left of the equation::
     42 ÷ 54 × (96 + x ) + x ÷ 54 × (96 + x ) = (150 + 2 x )
    Remove a bracket on the right of the equation::
     42 ÷ 54 × (96 + x ) + x ÷ 54 × (96 + x ) = 150 + 2 x
    The equation is reduced to :
     
7
9
(96 + x ) + x ×
1
54
(96 + x ) = 150 + 2 x
    Remove a bracket on the left of the equation:
     
7
9
× 96 +
7
9
x + x ×
1
54
(96 + x ) = 150 + 2 x
    The equation is reduced to :
     
224
3
+
7
9
x + x ×
1
54
(96 + x ) = 150 + 2 x
    Remove a bracket on the left of the equation:
     
224
3
+
7
9
x + x ×
1
54
× 96 + x ×
1
54
x = 150 + 2 x
    The equation is reduced to :
     
224
3
+
7
9
x + x ×
16
9
+ x ×
1
54
x = 150 + 2 x
    The equation is reduced to :
     
224
3
+
23
9
x + x ×
1
54
x = 150 + 2 x

    The solution of the equation:
        x1≈-80.520989 , keep 6 decimal places
        x2≈50.520989 , 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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