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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 = 0.000028*（68+x）/4.2 .
Question type: Equation
Solution:Original question:
| x | ÷ | 144 | − | 8 | ÷ | 277 | − | 15 | ÷ | 900 | − | 7 200 | = | 7 250000 | ( | 68 | + | x | ) | ÷ | 21 5 |
| Left side of the equation = | x | × | 1 144 | − | 8 277 | − | 1 60 | − | 7 200 |
| = | 1 144 | x | − | 13387 166200 |
1 144 | x | − | 13387 166200 | = | 7 250000 | ( | 68 | + | x | ) | ÷ | 21 5 |
| Right side of the equation = | 1 150000 | ( | 68 | + | x | ) |
1 144 | x | − | 13387 166200 | = | 1 150000 | ( | 68 | + | x | ) |
| Right side of the equation = | 1 150000 | × | 68 | + | 1 150000 | x |
| = | 17 37500 | + | 1 150000 | x |
1 144 | x | − | 13387 166200 | = | 17 37500 | + | 1 150000 | x |
Transposition :
1 144 | x | − | 1 150000 | x | = | 17 37500 | + | 13387 166200 |
Combine the items on the left of the equation:
1561 225000 | x | = | 17 37500 | + | 13387 166200 |
Combine the items on the right of the equation:
1561 225000 | x | = | 560931 6925000 |
The coefficient of the unknown number is reduced to 1 :
| x | = | 560931 6925000 | ÷ | 1561 225000 |
| = | 560931 6925000 | × | 225000 1561 |
| = | 80133 277 | × | 9 223 |
We obtained :
| x | = | 721197 61771 |
Convert the result to decimal form :
| x | = | 11.675333 |