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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 0.05 = (2+(4/(69+X))*50)/(90+90X) .
    Question type: Equation
    Solution:Original question:
     
1
20
= (2 + (4 ÷ (69 + X )) × 50) ÷ (90 + 90 X )
     Multiply both sides of the equation by:(90 + 90 X )
     
1
20
(90 + 90 X ) = (2 + (4 ÷ (69 + X )) × 50)
    Remove a bracket on the left of the equation::
     
1
20
× 90 +
1
20
× 90 X = (2 + (4 ÷ (69 + X )) × 50)
    Remove a bracket on the right of the equation::
     
1
20
× 90 +
1
20
× 90 X = 2 + (4 ÷ (69 + X )) × 50
    The equation is reduced to :
     
9
2
+
9
2
X = 2 + (4 ÷ (69 + X )) × 50
    Remove a bracket on the right of the equation::
     
9
2
+
9
2
X = 2 + 4 ÷ (69 + X ) × 50
    The equation is reduced to :
     
9
2
+
9
2
X = 2 + 200 ÷ (69 + X )
     Multiply both sides of the equation by:(69 + X )
     
9
2
(69 + X ) +
9
2
X (69 + X ) = 2(69 + X ) + 200
    Remove a bracket on the left of the equation:
     
9
2
× 69 +
9
2
X +
9
2
X (69 + X ) = 2(69 + X ) + 200
    Remove a bracket on the right of the equation::
     
9
2
× 69 +
9
2
X +
9
2
X (69 + X ) = 2 × 69 + 2 X + 200
    The equation is reduced to :
     
621
2
+
9
2
X +
9
2
X (69 + X ) = 138 + 2 X + 200
    The equation is reduced to :
     
621
2
+
9
2
X +
9
2
X (69 + X ) = 338 + 2 X
    Remove a bracket on the left of the equation:
     
621
2
+
9
2
X +
9
2
X × 69 +
9
2
X X = 338 + 2 X
    The equation is reduced to :
     
621
2
+
9
2
X +
621
2
X +
9
2
X X = 338 + 2 X
    The equation is reduced to :
     
621
2
+ 315 X +
9
2
X X = 338 + 2 X

    The solution of the equation:
        X1≈-69.643304 , keep 6 decimal places
        X2≈0.087749 , 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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