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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 570*x*[1-((1549-336)/(1549-336+2000))]*(1.0368-0.15)*(1)-144+48 = 338 .
Question type: Equation
Solution:Original question:
| 570 | x | ( | 1 | − | ( | ( | 1549 | − | 336 | ) | ÷ | ( | 1549 | − | 336 | + | 2000 | ) | ) | ) | ( | 648 625 | − | 3 20 | ) | ( | 1 | ) | − | 144 | + | 48 | = | 338 |
| 570 | x | × | 1 | ( | 648 625 | − | 3 20 | ) | ( | 1 | ) | − | 570 | x | ( | ( | 1549 | − | 336 | ) | ÷ | ( | 1549 | − | 336 | + | 2000 | ) | ) | ( | 648 625 | − | 3 20 | ) | ( | 1 | ) | − | 144 | + | 48 | = | 338 |
| 570 | x | ( | 648 625 | − | 3 20 | ) | ( | 1 | ) | − | 570 | x | ( | ( | 1549 | − | 336 | ) | ÷ | ( | 1549 | − | 336 | + | 2000 | ) | ) | ( | 648 625 | − | 3 20 | ) | ( | 1 | ) | − | 144 | + | 48 | = | 338 |
| 570 | x | ( | 648 625 | − | 3 20 | ) | ( | 1 | ) | − | 570 | x | ( | ( | 1549 | − | 336 | ) | ÷ | ( | 1549 | − | 336 | + | 2000 | ) | ) | ( | 648 625 | − | 3 20 | ) | ( | 1 | ) | − | 96 | = | 338 |
| 570 | x | × | 648 625 | ( | 1 | ) | − | 570 | x | × | 3 20 | ( | 1 | ) | − | 570 | x | ( | ( | 1549 | − | 336 | ) | ÷ | ( | 1549 | − | 336 | + | 2000 | ) | ) | ( | 648 625 | − | 3 20 | ) | = | 338 |
73872 125 | x | ( | 1 | ) | − | 171 2 | x | ( | 1 | ) | − | 570 | x | ( | ( | 1549 | − | 336 | ) | ÷ | ( | 1549 | − | 336 | + | 2000 | ) | ) | ( | 648 625 | − | 3 20 | ) | ( | 1 | ) | − | 96 | = | 338 |
73872 125 | x | × | 1 | − | 171 2 | x | ( | 1 | ) | − | 570 | x | ( | ( | 1549 | − | 336 | ) | ÷ | ( | 1549 | − | 336 | + | 2000 | ) | ) | ( | 648 625 | − | 3 20 | ) | ( | 1 | ) | − | 96 | = | 338 |
73872 125 | x | − | 171 2 | x | ( | 1 | ) | − | 570 | x | ( | ( | 1549 | − | 336 | ) | ÷ | ( | 1549 | − | 336 | + | 2000 | ) | ) | ( | 648 625 | − | 3 20 | ) | ( | 1 | ) | − | 96 | = | 338 |
73872 125 | x | − | 171 2 | x | × | 1 | − | 570 | x | ( | ( | 1549 | − | 336 | ) | ÷ | ( | 1549 | − | 336 | + | 2000 | ) | ) | ( | 648 625 | − | 3 20 | ) | ( | 1 | ) | − | 96 | = | 338 |
73872 125 | x | − | 171 2 | x | − | 570 | x | ( | ( | 1549 | − | 336 | ) | ÷ | ( | 1549 | − | 336 | + | 2000 | ) | ) | ( | 648 625 | − | 3 20 | ) | ( | 1 | ) | − | 96 | = | 338 |
126369 250 | x | − | 570 | x | ( | ( | 1549 | − | 336 | ) | ÷ | ( | 1549 | − | 336 | + | 2000 | ) | ) | ( | 648 625 | − | 3 20 | ) | ( | 1 | ) | − | 96 | = | 338 |
126369 250 | x | − | 570 | x | ( | 1549 | − | 336 | ) | ÷ | ( | 1549 | − | 336 | + | 2000 | ) | × | ( | 648 625 | − | 3 20 | ) | ( | 1 | ) | − | 96 | = | 338 |
| Multiply both sides of the equation by: | ( | 1549 | − | 336 | + | 2000 | ) |
126369 250 | x | ( | 1549 | − | 336 | + | 2000 | ) | − | 570 | x | ( | 1549 | − | 336 | ) | ( | 648 625 | − | 3 20 | ) | ( | 1 | ) | − | 96 | ( | 1549 | − | 336 | + | 2000 | ) | = | 338 | ( | 1549 | − | 336 | + | 2000 | ) |
126369 250 | x | × | 1549 | − | 126369 250 | x | × | 336 | + | 126369 250 | x | × | 2000 | − | 570 | x | ( | 1549 | − | 336 | ) | = | 338 | ( | 1549 | − | 336 | + | 2000 | ) |
126369 250 | x | × | 1549 | − | 126369 250 | x | × | 336 | + | 126369 250 | x | × | 2000 | − | 570 | x | ( | 1549 | − | 336 | ) | = | 338 | × | 1549 | − | 338 | × | 336 | + | 338 | × | 2000 |
195745581 250 | x | − | 21229992 125 | x | + | 1010952 | x | − | 570 | x | ( | 1549 | − | 336 | ) | ( | 648 625 | − | 3 20 | ) | ( | 1 | ) | − | 96 | = | 523562 | − | 113568 | + | 676000 |
x≈1.379336 , keep 6 decimal places
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》