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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 x/144-8/277-15/900-0.035 = 2.8*（78+x）/4200 .
Question type: Equation
Solution:Original question:
| x | ÷ | 144 | − | 8 | ÷ | 277 | − | 15 | ÷ | 900 | − | 7 200 | = | 14 5 | ( | 78 | + | x | ) | ÷ | 4200 |
| Left side of the equation = | x | × | 1 144 | − | 8 277 | − | 1 60 | − | 7 200 |
| = | 1 144 | x | − | 13387 166200 |
1 144 | x | − | 13387 166200 | = | 14 5 | ( | 78 | + | x | ) | ÷ | 4200 |
| Right side of the equation = | 1 1500 | ( | 78 | + | x | ) |
1 144 | x | − | 13387 166200 | = | 1 1500 | ( | 78 | + | x | ) |
| Right side of the equation = | 1 1500 | × | 78 | + | 1 1500 | x |
| = | 13 250 | + | 1 1500 | x |
1 144 | x | − | 13387 166200 | = | 13 250 | + | 1 1500 | x |
Transposition :
1 144 | x | − | 1 1500 | x | = | 13 250 | + | 13387 166200 |
Combine the items on the left of the equation:
113 18000 | x | = | 13 250 | + | 13387 166200 |
Combine the items on the right of the equation:
113 18000 | x | = | 110147 831000 |
The coefficient of the unknown number is reduced to 1 :
| x | = | 110147 831000 | ÷ | 113 18000 |
| = | 110147 831000 | × | 18000 113 |
| = | 110147 277 | × | 6 113 |
We obtained :
| x | = | 660882 31301 |
Convert the result to decimal form :
| x | = | 21.113766 |