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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 135.29/(1+(x/12*6))+0.39/(1+x) = 128 .
    Question type: Equation
    Solution:Original question:
     
13529
100
÷ (1 + ( x ÷ 12 × 6)) +
39
100
÷ (1 + x ) = 128
     Multiply both sides of the equation by:(1 + ( x ÷ 12 × 6))
     
13529
100
+
39
100
÷ (1 + x ) × (1 + ( x ÷ 12 × 6)) = 128(1 + ( x ÷ 12 × 6))
    Remove a bracket on the left of the equation::
     
13529
100
+
39
100
÷ (1 + x ) × 1 +
39
100
÷ (1 + x ) × ( x ÷ 12 × 6) = 128(1 + ( x ÷ 12 × 6))
    Remove a bracket on the right of the equation::
     
13529
100
+
39
100
÷ (1 + x ) × 1 +
39
100
÷ (1 + x ) × ( x ÷ 12 × 6) = 128 × 1 + 128( x ÷ 12 × 6)
    The equation is reduced to :
     
13529
100
+
39
100
÷ (1 + x ) +
39
100
÷ (1 + x ) × ( x ÷ 12 × 6) = 128 + 128( x ÷ 12 × 6)
     Multiply both sides of the equation by:(1 + x )
     
13529
100
(1 + x ) +
39
100
+
39
100
( x ÷ 12 × 6) = 128(1 + x ) + 128( x ÷ 12 × 6)(1 + x )
    Remove a bracket on the left of the equation:
     
13529
100
× 1 +
13529
100
x +
39
100
+
39
100
( x ÷ 12 × 6) = 128(1 + x ) + 128( x ÷ 12 × 6)(1 + x )
    Remove a bracket on the right of the equation::
     
13529
100
× 1 +
13529
100
x +
39
100
+
39
100
( x ÷ 12 × 6) = 128 × 1 + 128 x + 128( x ÷ 12 × 6)(1 + x )
    The equation is reduced to :
     
13529
100
+
13529
100
x +
39
100
+
39
100
( x ÷ 12 × 6) = 128 + 128 x + 128( x ÷ 12 × 6)(1 + x )
    The equation is reduced to :
     
3392
25
+
13529
100
x +
39
100
( x ÷ 12 × 6) = 128 + 128 x + 128( x ÷ 12 × 6)(1 + x )
    Remove a bracket on the left of the equation:
     
3392
25
+
13529
100
x +
39
100
x ÷ 12 × 6 = 128 + 128 x + 128( x ÷ 12 × 6)(1 + x )
    Remove a bracket on the right of the equation::
     
3392
25
+
13529
100
x +
39
100
x ÷ 12 × 6 = 128 + 128 x + 128 x ÷ 12 × 6(1 + x )
    The equation is reduced to :
     
3392
25
+
13529
100
x +
39
200
x = 128 + 128 x + 64 x (1 + x )
    The equation is reduced to :
     
3392
25
+
27097
200
x = 128 + 128 x + 64 x (1 + x )
    Remove a bracket on the right of the equation::
     
3392
25
+
27097
200
x = 128 + 128 x + 64 x × 1 + 64 x x
    The equation is reduced to :
     
3392
25
+
27097
200
x = 128 + 128 x + 64 x + 64 x x
    The equation is reduced to :
     
3392
25
+
27097
200
x = 128 + 192 x + 64 x x

    
        x≈0.119674 , 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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