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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 (98-0.18*x)(294-0.27*x)(441-0.27*x)-196*196*(98-0.18*x)-98*98*(441-0.27*x) = 0 .
Question type: Equation
Solution:Original question:
| ( | 98 | − | 9 50 | x | ) | ( | 294 | − | 27 100 | x | ) | ( | 441 | − | 27 100 | x | ) | − | 196 | × | 196 | ( | 98 | − | 9 50 | x | ) | − | 98 | × | 98 | ( | 441 | − | 27 100 | x | ) | = | 0 |
| Left side of the equation = | ( | 98 | − | 9 50 | x | ) | ( | 294 | − | 27 100 | x | ) | ( | 441 | − | 27 100 | x | ) | − | 38416 | ( | 98 | − | 9 50 | x | ) | − | 9604 | ( | 441 | − | 27 100 | x | ) |
| ( | 98 | − | 9 50 | x | ) | ( | 294 | − | 27 100 | x | ) | ( | 441 | − | 27 100 | x | ) | − | 38416 | ( | 98 | − | 9 50 | x | ) | − | 9604 | ( | 441 | − | 27 100 | x | ) | = | 0 |
| Left side of the equation = | 98 | ( | 294 | − | 27 100 | x | ) | ( | 441 | − | 27 100 | x | ) | − | 9 50 | x | ( | 294 | − | 27 100 | x | ) | ( | 441 | − | 27 100 | x | ) | − | 38416 | ( | 98 | − | 9 50 | x | ) | − | 9604 | ( | 441 | − | 27 100 | x | ) |
| = | 98 | × | 294 | ( | 441 | − | 27 100 | x | ) | − | 98 | × | 27 100 | x | ( | 441 | − | 27 100 | x | ) | − | 9 50 | x | ( | 294 | − | 27 100 | x | ) | ( | 441 | − | 27 100 | x | ) | − | 38416 |
| = | 28812 | ( | 441 | − | 27 100 | x | ) | − | 1323 50 | x | ( | 441 | − | 27 100 | x | ) | − | 9 50 | x | ( | 294 | − | 27 100 | x | ) | ( | 441 | − | 27 100 | x | ) | − | 38416 | ( | 98 | − | 9 50 | x | ) | − | 9604 |
| = | 28812 | × | 441 | − | 28812 | × | 27 100 | x | − | 1323 50 | x | ( | 441 | − | 27 100 | x | ) | − | 9 50 | x | ( | 294 | − | 27 100 | x | ) | ( | 441 | − | 27 100 | x | ) |
| = | 12706092 | − | 194481 25 | x | − | 1323 50 | x | ( | 441 | − | 27 100 | x | ) | − | 9 50 | x | ( | 294 | − | 27 100 | x | ) | ( | 441 | − | 27 100 | x | ) | − | 38416 | ( | 98 | − | 9 50 | x | ) |
| = | 12706092 | − | 194481 25 | x | − | 1323 50 | x | × | 441 | + | 1323 50 | x | × | 27 100 | x | − | 9 50 | x |
| = | 12706092 | − | 194481 25 | x | − | 583443 50 | x | + | 35721 5000 | x | x | − | 9 50 | x | ( | 294 | − | 27 100 | x | ) | ( | 441 | − | 27 100 | x | ) |
| = | 12706092 | − | 194481 10 | x | + | 35721 5000 | x | x | − | 9 50 | x | ( | 294 | − | 27 100 | x | ) | ( | 441 | − | 27 100 | x | ) | − | 38416 | ( | 98 | − | 9 50 | x | ) |
| = | 12706092 | − | 194481 10 | x | + | 35721 5000 | x | x | − | 9 50 | x | × | 294 | ( | 441 | − | 27 100 | x | ) | + | 9 50 | x |
| = | 12706092 | − | 194481 10 | x | + | 35721 5000 | x | x | − | 1323 25 | x | ( | 441 | − | 27 100 | x | ) | + | 243 5000 | x | x |
| = | 12706092 | − | 194481 10 | x | + | 35721 5000 | x | x | − | 1323 25 | x | × | 441 | + | 1323 25 | x | × | 27 100 |
| = | 12706092 | − | 194481 10 | x | + | 35721 5000 | x | x | − | 583443 25 | x | + | 35721 2500 | x | x | + | 243 5000 |
| = | 12706092 | − | 2139291 50 | x | + | 35721 5000 | x | x | + | 35721 2500 | x | x | + | 243 5000 | x | x |
| = | 12706092 | − | 2139291 50 | x | + | 35721 5000 | x | x | + | 35721 2500 | x | x | + | 243 5000 | x | x |
| = | 12706092 | − | 2139291 50 | x | + | 35721 5000 | x | x | + | 35721 2500 | x | x | + | 107163 5000 | x | x |
| = | 12706092 | − | 2139291 50 | x | + | 35721 5000 | x | x | + | 35721 2500 | x | x | + | 107163 5000 | x | x |
| = | 12706092 | − | 2139291 50 | x | + | 35721 5000 | x | x | + | 35721 2500 | x | x | + | 107163 5000 | x | x |
| = | 8941324 | − | 1793547 50 | x | + | 35721 5000 | x | x | + | 35721 2500 | x | x | + | 107163 5000 | x | x |
| = | 8941324 | − | 1793547 50 | x | + | 35721 5000 | x | x | + | 35721 2500 | x | x | + | 107163 5000 | x | x |
| = | 8941324 | − | 1793547 50 | x | + | 35721 5000 | x | x | + | 35721 2500 | x | x | + | 107163 5000 | x | x |
| = | 4705960 | − | 1663893 50 | x | + | 35721 5000 | x | x | + | 35721 2500 | x | x | + | 107163 5000 | x | x |
| 4705960 | − | 1663893 50 | x | + | 35721 5000 | x | x | + | 35721 2500 | x | x | + | 107163 5000 | x | x | = | 0 |
| x= | 4900 27 |
There are 1 solution(s).
解一元一次方程的详细方法请参阅：《一元一次方程的解法》