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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 (7X-(210-14)-183.36-88.2-(7X*0.13-14))*0.75 = 260-183.36 .
Question type: Equation
Solution:Original question:
| ( | 7 | X | − | ( | 210 | − | 14 | ) | − | 4584 25 | − | 441 5 | − | ( | 7 | X | × | 13 100 | − | 14 | ) | ) | × | 3 4 | = | 260 | − | 4584 25 |
| Left side of the equation = | 7 | X | × | 3 4 | − | ( | 210 | − | 14 | ) | × | 3 4 | − | 4584 25 | × | 3 4 | − | 441 5 | × | 3 4 | − | ( | 7 | X | × | 13 100 | − | 14 | ) | × | 3 4 |
| = | 21 4 | X | − | ( | 210 | − | 14 | ) | × | 3 4 | − | 3438 25 | − | 1323 20 | − | ( | 7 | X | × | 13 100 | − | 14 | ) | × | 3 4 |
| = | 21 4 | X | − | ( | 210 | − | 14 | ) | × | 3 4 | − | 20367 100 | − | ( | 7 | X | × | 13 100 | − | 14 | ) | × | 3 4 |
| = | 21 4 | X | − | 210 | × | 3 4 | + | 14 | × | 3 4 | − | 20367 100 | − | ( | 7 | X | × | 13 100 | − | 14 | ) | × | 3 4 |
| = | 21 4 | X | − | 315 2 | + | 21 2 | − | 20367 100 | − | ( | 7 | X | × | 13 100 | − | 14 | ) | × | 3 4 |
| = | 21 4 | X | − | 35067 100 | − | ( | 7 | X | × | 13 100 | − | 14 | ) | × | 3 4 |
| = | 21 4 | X | − | 35067 100 | − | 7 | X | × | 13 100 | × | 3 4 | + | 14 | × | 3 4 |
| = | 21 4 | X | − | 35067 100 | − | 273 400 | X | + | 21 2 |
| = | 1827 400 | X | − | 34017 100 |
1827 400 | X | − | 34017 100 | = | 260 | − | 4584 25 |
| Right side of the equation = | 1916 25 |
1827 400 | X | − | 34017 100 | = | 1916 25 |
Transposition :
1827 400 | X | = | 1916 25 | + | 34017 100 |
Combine the items on the right of the equation:
1827 400 | X | = | 41681 100 |
The coefficient of the unknown number is reduced to 1 :
| X | = | 41681 100 | ÷ | 1827 400 |
| = | 41681 100 | × | 400 1827 |
| = | 41681 | × | 4 1827 |
We obtained :
| X | = | 166724 1827 |
Convert the result to decimal form :
| X | = | 91.25561 |