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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 -78.975+84.5/(1+x/12*6)+0.325/(1+x/12*13) = 0 .
    Question type: Equation
    Solution:Original question:
      -
3159
40
+
169
2
÷ (1 + x ÷ 12 × 6) +
13
40
÷ (1 + x ÷ 12 × 13) = 0
     Multiply both sides of the equation by:(1 + x ÷ 12 × 6)
      -
3159
40
(1 + x ÷ 12 × 6) +
169
2
+
13
40
÷ (1 + x ÷ 12 × 13) × (1 + x ÷ 12 × 6) = 0
    Remove a bracket on the left of the equation::
      -
3159
40
× 1
3159
40
x ÷ 12 × 6 +
169
2
+
13
40
÷ (1 + x ÷ 12 × 13) × (1 + x ÷ 12 × 6) = 0
    The equation is reduced to :
      -
3159
40
3159
80
x +
169
2
+
13
40
÷ (1 + x ÷ 12 × 13) × (1 + x ÷ 12 × 6) = 0
    The equation is reduced to :
     
221
40
3159
80
x +
13
40
÷ (1 + x ÷ 12 × 13) × (1 + x ÷ 12 × 6) = 0
     Multiply both sides of the equation by:(1 + x ÷ 12 × 13)
     
221
40
(1 + x ÷ 12 × 13)
3159
80
x (1 + x ÷ 12 × 13) +
13
40
(1 + x ÷ 12 × 6) = 0
    Remove a bracket on the left of the equation:
     
221
40
× 1 +
221
40
x ÷ 12 × 13
3159
80
x (1 + x ÷ 12 × 13) +
13
40
(1 + x ÷ 12 × 6) = 0
    The equation is reduced to :
     
221
40
+
2873
480
x
3159
80
x (1 + x ÷ 12 × 13) +
13
40
(1 + x ÷ 12 × 6) = 0
    Remove a bracket on the left of the equation:
     
221
40
+
2873
480
x
3159
80
x × 1
3159
80
x x ÷ 12 × 13 +
13
40
= 0
    The equation is reduced to :
     
221
40
+
2873
480
x
3159
80
x
13689
320
x x +
13
40
(1 + x ÷ 12 × 6) = 0
    The equation is reduced to :
     
221
40
16081
480
x
13689
320
x x +
13
40
(1 + x ÷ 12 × 6) = 0
    Remove a bracket on the left of the equation:
     
221
40
16081
480
x
13689
320
x x +
13
40
× 1 +
13
40
x ÷ 12 × 6 = 0
    The equation is reduced to :
     
221
40
16081
480
x
13689
320
x x +
13
40
+
13
80
x = 0
    The equation is reduced to :
     
117
20
16003
480
x
13689
320
x x = 0

    
        x≈0.147537 , 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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