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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 1007.5/(1+(x/12*5))+818.09/(1+(x/12*11)) = 1704.69 .
    Question type: Equation
    Solution:Original question:
     
2015
2
 ÷ (1 + ( x ÷ 12 × 5)) +
81809
100
 ÷ (1 + ( x ÷ 12 × 11)) =
170469
100
     Multiply both sides of the equation by:(1 + ( x ÷ 12 × 5))
     
2015
2
 +
81809
100
 ÷ (1 + ( x ÷ 12 × 11)) × (1 + ( x ÷ 12 × 5)) =
170469
100
(1 + ( x ÷ 12 × 5))
    Remove a bracket on the left of the equation:：
     
2015
2
 +
81809
100
 ÷ (1 + ( x ÷ 12 × 11)) × 1 +
81809
100
 ÷ (1 + ( x ÷ 12 × 11)) × ( x ÷ 12 × 5) =
170469
100
(1 + ( x ÷ 12 × 5))
    Remove a bracket on the right of the equation:：
     
2015
2
 +
81809
100
 ÷ (1 + ( x ÷ 12 × 11)) × 1 +
81809
100
 ÷ (1 + ( x ÷ 12 × 11)) × ( x ÷ 12 × 5) =
170469
100
 × 1 +
170469
100
( x ÷ 12 × 5)
    The equation is reduced to :
     
2015
2
 +
81809
100
 ÷ (1 + ( x ÷ 12 × 11)) +
81809
100
 ÷ (1 + ( x ÷ 12 × 11)) × ( x ÷ 12 × 5) =
170469
100
 +
170469
100
( x ÷ 12 × 5)
     Multiply both sides of the equation by:(1 + ( x ÷ 12 × 11))
     
2015
2
(1 + ( x ÷ 12 × 11)) +
81809
100
 +
81809
100
 ÷ (1 + ( x ÷ 12 × 11)) × ( x ÷ 12 × 5)(1 + ( x ÷ 12 × 11)) =
170469
100
(1 + ( x ÷ 12 × 11)) +
170469
100
( x ÷ 12 × 5)(1 + ( x ÷ 12 × 11))
    Remove a bracket on the left of the equation:
     
2015
2
 × 1 +
2015
2
( x ÷ 12 × 11) +
81809
100
 +
81809
100
 ÷ (1 + ( x ÷ 12 × 11)) × ( x ÷ 12 × 5)(1 + ( x ÷ 12 × 11)) =
170469
100
(1 + ( x ÷ 12 × 11)) +
170469
100
( x ÷ 12 × 5)(1 + ( x ÷ 12 × 11))
    Remove a bracket on the right of the equation:：
     
2015
2
 × 1 +
2015
2
( x ÷ 12 × 11) +
81809
100
 +
81809
100
 ÷ (1 + ( x ÷ 12 × 11)) × ( x ÷ 12 × 5)(1 + ( x ÷ 12 × 11)) =
170469
100
 × 1 +
170469
100
( x ÷ 12 × 11) +
170469
100
( x ÷ 12 × 5)(1 + ( x ÷ 12 × 11))
    The equation is reduced to :
     
2015
2
 +
2015
2
( x ÷ 12 × 11) +
81809
100
 +
81809
100
 ÷ (1 + ( x ÷ 12 × 11)) × ( x ÷ 12 × 5)(1 + ( x ÷ 12 × 11)) =
170469
100
 +
170469
100
( x ÷ 12 × 11) +
170469
100
( x ÷ 12 × 5)(1 + ( x ÷ 12 × 11))
    The equation is reduced to :
     
182559
100
 +
2015
2
( x ÷ 12 × 11) +
81809
100
 ÷ (1 + ( x ÷ 12 × 11)) × ( x ÷ 12 × 5)(1 + ( x ÷ 12 × 11)) =
170469
100
 +
170469
100
( x ÷ 12 × 11) +
170469
100
( x ÷ 12 × 5)(1 + ( x ÷ 12 × 11))
     Multiply both sides of the equation by:(1 + ( x ÷ 12 × 11))
     
182559
100
(1 + ( x ÷ 12 × 11)) +
2015
2
( x ÷ 12 × 11)(1 + ( x ÷ 12 × 11)) +
81809
100
( x ÷ 12 × 5)(1 + ( x ÷ 12 × 11)) =
170469
100
(1 + ( x ÷ 12 × 11)) +
170469
100
( x ÷ 12 × 11)(1 + ( x ÷ 12 × 11)) +
170469
100
( x ÷ 12 × 5)(1 + ( x ÷ 12 × 11))(1 + ( x ÷ 12 × 11))
    Remove a bracket on the left of the equation:
     
182559
100
 × 1 +
182559
100
( x ÷ 12 × 11) +
2015
2
( x ÷ 12 × 11)(1 + ( x ÷ 12 × 11)) +
81809
100
( x ÷ 12 × 5)(1 + ( x ÷ 12 × 11)) =
170469
100
(1 + ( x ÷ 12 × 11)) +
170469
100
( x ÷ 12 × 11)(1 + ( x ÷ 12 × 11)) +
170469
100
( x ÷ 12 × 5)(1 + ( x ÷ 12 × 11))(1 + ( x ÷ 12 × 11))
    Remove a bracket on the right of the equation:：
     
182559
100
 × 1 +
182559
100
( x ÷ 12 × 11) +
2015
2
( x ÷ 12 × 11)(1 + ( x ÷ 12 × 11)) +
81809
100
( x ÷ 12 × 5)(1 + ( x ÷ 12 × 11)) =
170469
100
 × 1 +
170469
100
( x ÷ 12 × 11) +
170469
100
( x ÷ 12 × 11)(1 + ( x ÷ 12 × 11)) +
170469
100
( x ÷ 12 × 5)(1 + ( x ÷ 12 × 11))(1 + ( x ÷ 12 × 11))
    The equation is reduced to :
     
182559
100
 +
182559
100
( x ÷ 12 × 11) +
2015
2
( x ÷ 12 × 11)(1 + ( x ÷ 12 × 11)) +
81809
100
( x ÷ 12 × 5)(1 + ( x ÷ 12 × 11)) =
170469
100
 +
170469
100
( x ÷ 12 × 11) +
170469
100
( x ÷ 12 × 11)(1 + ( x ÷ 12 × 11)) +
170469
100
( x ÷ 12 × 5)(1 + ( x ÷ 12 × 11))(1 + ( x ÷ 12 × 11))
    Remove a bracket on the left of the equation:
     
182559
100
 +
182559
100
 x ÷ 12 × 11 +
2015
2
( x ÷ 12 × 11)(1 + ( x ÷ 12 × 11)) +
81809
100
( x ÷ 12 × 5)(1 + ( x ÷ 12 × 11)) =
170469
100
 +
170469
100
( x ÷ 12 × 11) +
170469
100
( x ÷ 12 × 11)(1 + ( x ÷ 12 × 11)) +
170469
100
( x ÷ 12 × 5)(1 + ( x ÷ 12 × 11))(1 + ( x ÷ 12 × 11))
    Remove a bracket on the right of the equation:：
     
182559
100
 +
182559
100
 x ÷ 12 × 11 +
2015
2
( x ÷ 12 × 11)(1 + ( x ÷ 12 × 11)) +
81809
100
( x ÷ 12 × 5)(1 + ( x ÷ 12 × 11)) =
170469
100
 +
170469
100
 x ÷ 12 × 11 +
170469
100
( x ÷ 12 × 11)(1 + ( x ÷ 12 × 11)) +
170469
100
( x ÷ 12 × 5)(1 + ( x ÷ 12 × 11))(1 + ( x ÷ 12 × 11))
    The equation is reduced to :
     
182559
100
 +
669383
400
 x +
2015
2
( x ÷ 12 × 11)(1 + ( x ÷ 12 × 11)) +
81809
100
( x ÷ 12 × 5)(1 + ( x ÷ 12 × 11)) =
170469
100
 +
625053
400
 x +
170469
100
( x ÷ 12 × 11)(1 + ( x ÷ 12 × 11)) +
170469
100
( x ÷ 12 × 5)(1 + ( x ÷ 12 × 11))(1 + ( x ÷ 12 × 11))
    Remove a bracket on the left of the equation:
     
182559
100
 +
669383
400
 x +
2015
2
 x ÷ 12 × 11(1 + ( x ÷ 12 × 11)) +
81809
100
( x ÷ 12 × 5)(1 + ( x ÷ 12 × 11)) =
170469
100
 +
625053
400
 x +
170469
100
( x ÷ 12 × 11)(1 + ( x ÷ 12 × 11)) +
170469
100
( x ÷ 12 × 5)(1 + ( x ÷ 12 × 11))(1 + ( x ÷ 12 × 11))
    Remove a bracket on the right of the equation:：
     
182559
100
 +
669383
400
 x +
2015
2
 x ÷ 12 × 11(1 + ( x ÷ 12 × 11)) +
81809
100
( x ÷ 12 × 5)(1 + ( x ÷ 12 × 11)) =
170469
100
 +
625053
400
 x +
170469
100
 x ÷ 12 × 11(1 + ( x ÷ 12 × 11)) +
170469
100
( x ÷ 12 × 5)(1 + ( x ÷ 12 × 11))(1 + ( x ÷ 12 × 11))
    The equation is reduced to :
     
182559
100
 +
669383
400
 x +
22165
24
 x (1 + ( x ÷ 12 × 11)) +
81809
100
( x ÷ 12 × 5)(1 + ( x ÷ 12 × 11)) =
170469
100
 +
625053
400
 x +
625053
400
 x (1 + ( x ÷ 12 × 11)) +
170469
100
( x ÷ 12 × 5)(1 + ( x ÷ 12 × 11))(1 + ( x ÷ 12 × 11))
    Remove a bracket on the left of the equation:
     
182559
100
 +
669383
400
 x +
22165
24
 x × 1 +
22165
24
 x ( x ÷ 12 × 11) +
81809
100
( x ÷ 12 × 5)(1 + ( x ÷ 12 × 11)) =
170469
100
 +
625053
400
 x +
625053
400
 x (1 + ( x ÷ 12 × 11)) +
170469
100
( x ÷ 12 × 5)(1 + ( x ÷ 12 × 11))(1 + ( x ÷ 12 × 11))
    Remove a bracket on the right of the equation:：
     
182559
100
 +
669383
400
 x +
22165
24
 x × 1 +
22165
24
 x ( x ÷ 12 × 11) +
81809
100
( x ÷ 12 × 5)(1 + ( x ÷ 12 × 11)) =
170469
100
 +
625053
400
 x +
625053
400
 x × 1 +
625053
400
 x ( x ÷ 12 × 11) +
170469
100
( x ÷ 12 × 5)(1 + ( x ÷ 12 × 11))
    The equation is reduced to :
     
182559
100
 +
669383
400
 x +
22165
24
 x +
22165
24
 x ( x ÷ 12 × 11) +
81809
100
( x ÷ 12 × 5)(1 + ( x ÷ 12 × 11)) =
170469
100
 +
625053
400
 x +
625053
400
 x +
625053
400
 x ( x ÷ 12 × 11) +
170469
100
( x ÷ 12 × 5)(1 + ( x ÷ 12 × 11))(1 + ( x ÷ 12 × 11))

    The solution of the equation:
        x1≈-1.660745 , keep 6 decimal places
        x2≈0.111809 , 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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