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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 11x+x/4+3x-2370+(2x-1580)/3+28*(x-930)+(5x-4650)/12+12000+1666.67+500 = 367484 .
Question type: Equation
Solution:Original question:
| 11 | x | + | x | ÷ | 4 | + | 3 | x | − | 2370 | + | ( | 2 | x | − | 1580 | ) | ÷ | 3 | + | 28 | ( | x | − | 930 | ) | + | ( | 5 | x | − | 4650 | ) | = | 367484 |
| Left side of the equation = | 57 4 | x | + | 1179667 100 | + | ( | 2 | x | − | 1580 | ) | × | 1 3 | + | 28 | ( | x | − | 930 | ) | + | ( | 5 | x | − | 4650 | ) | × | 1 12 |
57 4 | x | + | 1179667 100 | + | ( | 2 | x | − | 1580 | ) | × | 1 3 | + | 28 | ( | x | − | 930 | ) | + | ( | 5 | x | − | 4650 | ) | × | 1 12 | = | 367484 |
| Left side of the equation = | 57 4 | x | + | 1179667 100 | + | 2 | x | × | 1 3 | − | 1580 | × | 1 3 | + | 28 | ( | x | − | 930 | ) | + | ( | 5 | x | − | 4650 | ) | × | 1 12 |
| = | 57 4 | x | + | 1179667 100 | + | 2 3 | x | − | 1580 3 | + | 28 | ( | x | − | 930 | ) | + | ( | 5 | x | − | 4650 | ) | × | 1 12 |
| = | 179 12 | x | + | 3381001 300 | + | 28 | ( | x | − | 930 | ) | + | ( | 5 | x | − | 4650 | ) | × | 1 12 |
| = | 179 12 | x | + | 3381001 300 | + | 28 | x | − | 28 | × | 930 | + | ( | 5 | x | − | 4650 | ) | × | 1 12 |
| = | 179 12 | x | + | 3381001 300 | + | 28 | x | − | 26040 | + | ( | 5 | x | − | 4650 | ) | × | 1 12 |
| = | 515 12 | x | − | 4430999 300 | + | ( | 5 | x | − | 4650 | ) | × | 1 12 |
| = | 515 12 | x | − | 4430999 300 | + | 5 | x | × | 1 12 | − | 4650 | × | 1 12 |
| = | 515 12 | x | − | 4430999 300 | + | 5 12 | x | − | 775 2 |
| = | 130 3 | x | − | 4547249 300 |
130 3 | x | − | 4547249 300 | = | 367484 |
Transposition :
130 3 | x | = | 367484 | + | 4547249 300 |
Combine the items on the right of the equation:
130 3 | x | = | 114792449 300 |
The coefficient of the unknown number is reduced to 1 :
| x | = | 114792449 300 | ÷ | 130 3 |
| = | 114792449 300 | × | 3 130 |
| = | 114792449 100 | × | 1 130 |
We obtained :
| x | = | 114792449 13000 |
Convert the result to decimal form :
| x | = | 8830.188385 |