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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+29*(x-930)+(5x-4650)/12+10000+1666.67+500 = 367484 .
Question type: Equation
Solution:Original question:
| 11 | x | + | x | ÷ | 4 | + | 3 | x | − | 2370 | + | ( | 2 | x | − | 1580 | ) | ÷ | 3 | + | 29 | ( | x | − | 930 | ) | + | ( | 5 | x | − | 4650 | ) | = | 367484 |
| Left side of the equation = | 57 4 | x | + | 979667 100 | + | ( | 2 | x | − | 1580 | ) | × | 1 3 | + | 29 | ( | x | − | 930 | ) | + | ( | 5 | x | − | 4650 | ) | × | 1 12 |
57 4 | x | + | 979667 100 | + | ( | 2 | x | − | 1580 | ) | × | 1 3 | + | 29 | ( | x | − | 930 | ) | + | ( | 5 | x | − | 4650 | ) | × | 1 12 | = | 367484 |
| Left side of the equation = | 57 4 | x | + | 979667 100 | + | 2 | x | × | 1 3 | − | 1580 | × | 1 3 | + | 29 | ( | x | − | 930 | ) | + | ( | 5 | x | − | 4650 | ) | × | 1 12 |
| = | 57 4 | x | + | 979667 100 | + | 2 3 | x | − | 1580 3 | + | 29 | ( | x | − | 930 | ) | + | ( | 5 | x | − | 4650 | ) | × | 1 12 |
| = | 179 12 | x | + | 2781001 300 | + | 29 | ( | x | − | 930 | ) | + | ( | 5 | x | − | 4650 | ) | × | 1 12 |
| = | 179 12 | x | + | 2781001 300 | + | 29 | x | − | 29 | × | 930 | + | ( | 5 | x | − | 4650 | ) | × | 1 12 |
| = | 179 12 | x | + | 2781001 300 | + | 29 | x | − | 26970 | + | ( | 5 | x | − | 4650 | ) | × | 1 12 |
| = | 527 12 | x | − | 5309999 300 | + | ( | 5 | x | − | 4650 | ) | × | 1 12 |
| = | 527 12 | x | − | 5309999 300 | + | 5 | x | × | 1 12 | − | 4650 | × | 1 12 |
| = | 527 12 | x | − | 5309999 300 | + | 5 12 | x | − | 775 2 |
| = | 133 3 | x | − | 5426249 300 |
133 3 | x | − | 5426249 300 | = | 367484 |
Transposition :
133 3 | x | = | 367484 | + | 5426249 300 |
Combine the items on the right of the equation:
133 3 | x | = | 115671449 300 |
The coefficient of the unknown number is reduced to 1 :
| x | = | 115671449 300 | ÷ | 133 3 |
| = | 115671449 300 | × | 3 133 |
| = | 115671449 100 | × | 1 133 |
We obtained :
| x | = | 115671449 13300 |
By reducing fraction, we can get:
| x | = | 6087971 700 |
Convert the result to decimal form :
| x | = | 8697.101429 |