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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/144-8/277-10/900-0.04 = 2.8*（80+x）/4200 .
Question type: Equation
Solution:Original question:
| x | ÷ | 144 | − | 8 | ÷ | 277 | − | 10 | ÷ | 900 | − | 1 25 | = | 14 5 | ( | 80 | + | x | ) | ÷ | 4200 |
| Left side of the equation = | x | × | 1 144 | − | 8 277 | − | 1 90 | − | 1 25 |
| = | 1 144 | x | − | 9971 124650 |
1 144 | x | − | 9971 124650 | = | 14 5 | ( | 80 | + | x | ) | ÷ | 4200 |
| Right side of the equation = | 1 1500 | ( | 80 | + | x | ) |
1 144 | x | − | 9971 124650 | = | 1 1500 | ( | 80 | + | x | ) |
| Right side of the equation = | 1 1500 | × | 80 | + | 1 1500 | x |
| = | 4 75 | + | 1 1500 | x |
1 144 | x | − | 9971 124650 | = | 4 75 | + | 1 1500 | x |
Transposition :
1 144 | x | − | 1 1500 | x | = | 4 75 | + | 9971 124650 |
Combine the items on the left of the equation:
113 18000 | x | = | 4 75 | + | 9971 124650 |
Combine the items on the right of the equation:
113 18000 | x | = | 16619 124650 |
The coefficient of the unknown number is reduced to 1 :
| x | = | 16619 124650 | ÷ | 113 18000 |
| = | 16619 124650 | × | 18000 113 |
| = | 16619 277 | × | 40 113 |
We obtained :
| x | = | 664760 31301 |
Convert the result to decimal form :
| x | = | 21.23766 |