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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+3+5.8+(((24.8-5.8)*(x-100))/400)+x*0.0048+(1+(x-100)*0.007)+x*0.02+x*0.0264+x*0.015 = 298.2 .
Question type: Equation
Solution:Original question:
| x | + | 3 | + | 29 5 | + | ( | ( | ( | 124 5 | − | 29 5 | ) | ( | x | − | 100 | ) | ) | ÷ | 400 | ) | + | x | × | 3 625 | + | ( | 1 | + | ( | x | − | 100 | ) | × | 7 1000 | ) | + | x | × | 1 50 | + | x | × | 33 1250 | + | x | = | 1491 5 |
| Left side of the equation = | 5331 5000 | x | + | 44 5 | + | ( | ( | ( | 124 5 | − | 29 5 | ) | ( | x | − | 100 | ) | ) | ÷ | 400 | ) | + | ( | 1 | + | ( | x | − | 100 | ) | × | 7 1000 | ) |
5331 5000 | x | + | 44 5 | + | ( | ( | ( | 124 5 | − | 29 5 | ) | ( | x | − | 100 | ) | ) | ÷ | 400 | ) | + | ( | 1 | + | ( | x | − | 100 | ) | × | 7 1000 | ) | = | 1491 5 |
| Left side of the equation = | 5331 5000 | x | + | 44 5 | + | ( | ( | 124 5 | − | 29 5 | ) | ( | x | − | 100 | ) | ) | ÷ | 400 | + | ( | 1 | + | ( | x | − | 100 | ) | × | 7 1000 | ) |
| = | 5331 5000 | x | + | 44 5 | + | ( | 124 5 | − | 29 5 | ) | ( | x | − | 100 | ) | × | 1 400 | + | ( | 1 | + | ( | x | − | 100 | ) | × | 7 1000 | ) |
| = | 5331 5000 | x | + | 44 5 | + | 124 5 | ( | x | − | 100 | ) | × | 1 400 | − | 29 5 | ( | x | − | 100 | ) | × | 1 400 | + | ( | 1 | + | ( | x | − | 100 | ) | × | 7 1000 | ) |
| = | 5331 5000 | x | + | 44 5 | + | 31 500 | ( | x | − | 100 | ) | − | 29 2000 | ( | x | − | 100 | ) | + | ( | 1 | + | ( | x | − | 100 | ) | × | 7 1000 | ) |
| = | 5331 5000 | x | + | 44 5 | + | 31 500 | x | − | 31 500 | × | 100 | − | 29 2000 | ( | x | − | 100 | ) | + | ( | 1 | + | ( | x | − | 100 | ) | × | 7 1000 | ) |
| = | 5331 5000 | x | + | 44 5 | + | 31 500 | x | − | 31 5 | − | 29 2000 | ( | x | − | 100 | ) | + | ( | 1 | + | ( | x | − | 100 | ) | × | 7 1000 | ) |
| = | 5641 5000 | x | + | 13 5 | − | 29 2000 | ( | x | − | 100 | ) | + | ( | 1 | + | ( | x | − | 100 | ) | × | 7 1000 | ) |
| = | 5641 5000 | x | + | 13 5 | − | 29 2000 | x | + | 29 2000 | × | 100 | + | ( | 1 | + | ( | x | − | 100 | ) | × | 7 1000 | ) |
| = | 5641 5000 | x | + | 13 5 | − | 29 2000 | x | + | 29 20 | + | ( | 1 | + | ( | x | − | 100 | ) | × | 7 1000 | ) |
| = | 11137 10000 | x | + | 81 20 | + | ( | 1 | + | ( | x | − | 100 | ) | × | 7 1000 | ) |
| = | 11137 10000 | x | + | 81 20 | + | 1 | + | ( | x | − | 100 | ) | × | 7 1000 |
| = | 11137 10000 | x | + | 101 20 | + | ( | x | − | 100 | ) | × | 7 1000 |
| = | 11137 10000 | x | + | 101 20 | + | x | × | 7 1000 | − | 100 | × | 7 1000 |
| = | 11137 10000 | x | + | 101 20 | + | x | × | 7 1000 | − | 7 10 |
| = | 11207 10000 | x | + | 87 20 |
11207 10000 | x | + | 87 20 | = | 1491 5 |
Transposition :
11207 10000 | x | = | 1491 5 | − | 87 20 |
Combine the items on the right of the equation:
11207 10000 | x | = | 5877 20 |
The coefficient of the unknown number is reduced to 1 :
| x | = | 5877 20 | ÷ | 11207 10000 |
| = | 5877 20 | × | 10000 11207 |
| = | 5877 | × | 500 11207 |
We obtained :
| x | = | 2938500 11207 |
Convert the result to decimal form :
| x | = | 262.202195 |