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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 -78+80.4/(1+X/12*2)+3.6/(1+X/12*24) = 0 .
    Question type: Equation
    Solution:Original question:
      - 78 +
402
5
÷ (1 + X ÷ 12 × 2) +
18
5
÷ (1 + X ÷ 12 × 24) = 0
     Multiply both sides of the equation by:(1 + X ÷ 12 × 2)
      - 78(1 + X ÷ 12 × 2) +
402
5
+
18
5
÷ (1 + X ÷ 12 × 24) × (1 + X ÷ 12 × 2) = 0
    Remove a bracket on the left of the equation::
      - 78 × 178 X ÷ 12 × 2 +
402
5
+
18
5
÷ (1 + X ÷ 12 × 24) × (1 + X ÷ 12 × 2) = 0
    The equation is reduced to :
      - 7813 X +
402
5
+
18
5
÷ (1 + X ÷ 12 × 24) × (1 + X ÷ 12 × 2) = 0
    The equation is reduced to :
     
12
5
13 X +
18
5
÷ (1 + X ÷ 12 × 24) × (1 + X ÷ 12 × 2) = 0
     Multiply both sides of the equation by:(1 + X ÷ 12 × 24)
     
12
5
(1 + X ÷ 12 × 24)13 X (1 + X ÷ 12 × 24) +
18
5
(1 + X ÷ 12 × 2) = 0
    Remove a bracket on the left of the equation:
     
12
5
× 1 +
12
5
X ÷ 12 × 2413 X (1 + X ÷ 12 × 24) +
18
5
(1 + X ÷ 12 × 2) = 0
    The equation is reduced to :
     
12
5
+
24
5
X 13 X (1 + X ÷ 12 × 24) +
18
5
(1 + X ÷ 12 × 2) = 0
    Remove a bracket on the left of the equation:
     
12
5
+
24
5
X 13 X × 113 X X ÷ 12 × 24 +
18
5
= 0
    The equation is reduced to :
     
12
5
+
24
5
X 13 X 26 X X +
18
5
(1 + X ÷ 12 × 2) = 0
    The equation is reduced to :
     
12
5
41
5
X 26 X X +
18
5
(1 + X ÷ 12 × 2) = 0
    Remove a bracket on the left of the equation:
     
12
5
41
5
X 26 X X +
18
5
× 1 +
18
5
X ÷ 12 × 2 = 0
    The equation is reduced to :
     
12
5
41
5
X 26 X X +
18
5
+
3
5
X = 0
    The equation is reduced to :
     6
38
5
X 26 X X = 0

    The solution of the equation:
        X1≈-0.648280 , keep 6 decimal places
        X2≈0.355972 , 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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