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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.
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 7x-(210-14）-（7x*0.13-14-112)*0.1-【7x-467.56-（7x*0.13-14-112)*0.1】*0.25 = 348.2 .
Question type: Equation
Solution:Original question:
Remove the bracket on the left of the equation:
The equation is transformed into :
Transposition :
Combine the items on the right of the equation:
The coefficient of the unknown number is reduced to 1 :
We obtained :
This is the solution of the equation.
Convert the result to decimal form :
☆1 equations
[ 1/1 Equation]
Work: Find the solution of equation 7x-(210-14）-（7x*0.13-14-112)*0.1-【7x-467.56-（7x*0.13-14-112)*0.1】*0.25 = 348.2 .
Question type: Equation
Solution:Original question:
| 7 | x | − | ( | 210 | − | 14 | ) | − | ( | 7 | x | × | 13 100 | − | 14 | − | 112 | ) | × | 1 10 | − | ( | 7 | x | − | 11689 25 | − | ( | 7 | x | × | 13 100 | − | 14 | − | 112 | ) | × | 1 10 | ) | × | 1 4 | = | 1741 5 |
| Left side of the equation = | 7 | x | − | 210 | + | 14 | − | ( | 7 | x | × | 13 100 | − | 14 | − | 112 | ) | × | 1 10 | − | ( | 7 | x | − | 11689 25 | − | ( | 7 | x | × | 13 100 | − | 14 | − | 112 | ) | × | 1 10 | ) | × | 1 4 |
| = | 7 | x | − | 196 | − | ( | 7 | x | × | 13 100 | − | 14 | − | 112 | ) | × | 1 10 | − | ( | 7 | x | − | 11689 25 | − | ( | 7 | x | × | 13 100 | − | 14 | − | 112 | ) | × | 1 10 | ) | × | 1 4 |
| = | 7 | x | − | 196 | − | 7 | x | × | 13 100 | × | 1 10 | + | 14 | × | 1 10 | + | 112 | × | 1 10 | − | ( | 7 | x | − | 11689 25 | − | ( | 7 | x | × | 13 100 | − | 14 | − | 112 | ) | × | 1 10 | ) |
| = | 7 | x | − | 196 | − | 91 1000 | x | + | 7 5 | + | 56 5 | − | ( | 7 | x | − | 11689 25 | − | ( | 7 | x | × | 13 100 | − | 14 | − | 112 | ) | × | 1 10 | ) | × | 1 4 |
| = | 6909 1000 | x | − | 917 5 | − | ( | 7 | x | − | 11689 25 | − | ( | 7 | x | × | 13 100 | − | 14 | − | 112 | ) | × | 1 10 | ) | × | 1 4 |
| = | 6909 1000 | x | − | 917 5 | − | 7 | x | × | 1 4 | + | 11689 25 | × | 1 4 | + | ( | 7 | x | × | 13 100 | − | 14 | − | 112 | ) | × | 1 10 | × | 1 4 |
| = | 6909 1000 | x | − | 917 5 | − | 7 4 | x | + | 11689 100 | + | ( | 7 | x | × | 13 100 | − | 14 | − | 112 | ) | × | 1 40 |
| = | 5159 1000 | x | − | 6651 100 | + | ( | 7 | x | × | 13 100 | − | 14 | − | 112 | ) | × | 1 40 |
| = | 5159 1000 | x | − | 6651 100 | + | 7 | x | × | 13 100 | × | 1 40 | − | 14 | × | 1 40 | − | 112 | × | 1 40 |
| = | 5159 1000 | x | − | 6651 100 | + | 91 4000 | x | − | 7 20 | − | 14 5 |
| = | 20727 4000 | x | − | 3483 50 |
20727 4000 | x | − | 3483 50 | = | 1741 5 |
Transposition :
20727 4000 | x | = | 1741 5 | + | 3483 50 |
Combine the items on the right of the equation:
20727 4000 | x | = | 20893 50 |
The coefficient of the unknown number is reduced to 1 :
| x | = | 20893 50 | ÷ | 20727 4000 |
| = | 20893 50 | × | 4000 20727 |
| = | 20893 | × | 80 20727 |
We obtained :
| x | = | 1671440 20727 |
Convert the result to decimal form :
| x | = | 80.64071 |