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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 14.3*400*x = 360/（0.518-0.8）*1520*（x/800-0.8）+360/（0.518-0.8）*509*（x/550-0.8）+360/（0.518-0.8）*509*（x/300-0.8） .
Question type: Equation
Solution:Original question:
143 10 | × | 400 | x | = | 360 | ÷ | ( | 259 500 | − | 4 5 | ) | × | 1520 | ( | x | ÷ | 800 | − | 4 5 | ) | + | 360 | ÷ | ( | 259 500 | − | 4 5 | ) | × | 509 | ( | x | ÷ | 550 | − | 4 5 | ) | + | 360 | ÷ | ( | 259 500 | − | 4 5 | ) | × | 509 | ( | x | ÷ | 300 | − | 4 5 | ) |
| Multiply both sides of the equation by: | ( | 259 500 | − | 4 5 | ) |
143 10 | × | 400 | x | ( | 259 500 | − | 4 5 | ) | = | 360 | × | 1520 | ( | x | ÷ | 800 | − | 4 5 | ) | + | 360 | ÷ | ( | 259 500 | − | 4 5 | ) | × | 509 | ( | x | ÷ | 550 | − | 4 5 | ) | ( | 259 500 | − | 4 5 | ) | + | 360 | ÷ | ( | 259 500 | − | 4 5 | ) | × | 509 | ( | x | ÷ | 300 | − | 4 5 | ) |
143 10 | × | 400 | x | × | 259 500 | − | 143 10 | × | 400 | x | × | 4 5 | = | 360 | × | 1520 | ( | x | ÷ | 800 | − | 4 5 | ) | + | 360 | ÷ | ( | 259 500 | − | 4 5 | ) | × | 509 | ( | x | ÷ | 550 | − | 4 5 | ) | ( | 259 500 | − | 4 5 | ) | + | 360 | ÷ | ( | 259 500 | − | 4 5 | ) | × | 509 | ( | x | ÷ | 300 | − | 4 5 | ) |
143 10 | × | 400 | x | × | 259 500 | − | 143 10 | × | 400 | x | × | 4 5 | = | 360 | × | 1520 | x | ÷ | 800 | − | 360 | × | 1520 | × | 4 5 | + | 360 | ÷ | ( | 259 500 | − | 4 5 | ) | × | 509 | ( | x | ÷ | 550 | − | 4 5 | ) | ( | 259 500 | − | 4 5 | ) |
74074 25 | x | − | 4576 | x | = | 684 | x | − | 437760 | + | 183240 | ÷ | ( | 259 500 | − | 4 5 | ) | × | ( | x | ÷ | 550 | − | 4 5 | ) | ( | 259 500 | − | 4 5 | ) | + | 183240 | ÷ | ( | 259 500 | − | 4 5 | ) | × | ( | x | ÷ | 300 | − | 4 5 | ) | ( | 259 500 | − | 4 5 | ) |
| - | 40326 25 | x | = | 684 | x | − | 437760 | + | 183240 | ÷ | ( | 259 500 | − | 4 5 | ) | × | ( | x | ÷ | 550 | − | 4 5 | ) | ( | 259 500 | − | 4 5 | ) | + | 183240 | ÷ | ( | 259 500 | − | 4 5 | ) | × | ( | x | ÷ | 300 | − | 4 5 | ) | ( | 259 500 | − | 4 5 | ) |
| Multiply both sides of the equation by: | ( | 259 500 | − | 4 5 | ) |
| - | 40326 25 | x | ( | 259 500 | − | 4 5 | ) | = | 684 | x | ( | 259 500 | − | 4 5 | ) | − | 437760 | ( | 259 500 | − | 4 5 | ) | + | 183240 | ( | x | ÷ | 550 | − | 4 5 | ) | ( | 259 500 | − | 4 5 | ) | + | 183240 | ÷ | ( | 259 500 | − | 4 5 | ) | × | ( | x | ÷ | 300 | − | 4 5 | ) | ( | 259 500 | − | 4 5 | ) |
| - | 40326 25 | x | × | 259 500 | + | 40326 25 | x | × | 4 5 | = | 684 | x | ( | 259 500 | − | 4 5 | ) | − | 437760 | ( | 259 500 | − | 4 5 | ) | + | 183240 | ( | x | ÷ | 550 | − | 4 5 | ) | ( | 259 500 | − | 4 5 | ) | + | 183240 | ÷ | ( | 259 500 | − | 4 5 | ) | × | ( | x | ÷ | 300 | − | 4 5 | ) | ( | 259 500 | − | 4 5 | ) |
| - | 40326 25 | x | × | 259 500 | + | 40326 25 | x | × | 4 5 | = | 684 | x | × | 259 500 | − | 684 | x | × | 4 5 | − | 437760 | ( | 259 500 | − | 4 5 | ) | + | 183240 | ( | x | ÷ | 550 | − | 4 5 | ) | ( | 259 500 | − | 4 5 | ) | + | 183240 |
| - | 5222217 6250 | x | + | 161304 125 | x | = | 44289 125 | x | − | 2736 5 | x | − | 437760 | ( | 259 500 | − | 4 5 | ) | + | 183240 | ( | x | ÷ | 550 | − | 4 5 | ) | ( | 259 500 | − | 4 5 | ) | + | 183240 | ÷ | ( | 259 500 | − | 4 5 | ) | × | ( | x | ÷ | 300 | − | 4 5 | ) |
2842983 6250 | x | = | - | 24111 125 | x | − | 437760 | ( | 259 500 | − | 4 5 | ) | + | 183240 | ( | x | ÷ | 550 | − | 4 5 | ) | ( | 259 500 | − | 4 5 | ) | + | 183240 | ÷ | ( | 259 500 | − | 4 5 | ) | × | ( | x | ÷ | 300 | − | 4 5 | ) | ( | 259 500 | − | 4 5 | ) | ( | 259 500 | − | 4 5 | ) |
| Multiply both sides of the equation by: | ( | 259 500 | − | 4 5 | ) |
2842983 6250 | x | ( | 259 500 | − | 4 5 | ) | = | - | 24111 125 | x | ( | 259 500 | − | 4 5 | ) | − | 437760 | ( | 259 500 | − | 4 5 | ) | ( | 259 500 | − | 4 5 | ) | + | 183240 | ( | x | ÷ | 550 | − | 4 5 | ) | ( | 259 500 | − | 4 5 | ) | ( | 259 500 | − | 4 5 | ) | + | 183240 | ( | x | ÷ | 300 | − | 4 5 | ) |
2842983 6250 | x | × | 259 500 | − | 2842983 6250 | x | × | 4 5 | = | - | 24111 125 | x | ( | 259 500 | − | 4 5 | ) | − | 437760 | ( | 259 500 | − | 4 5 | ) | ( | 259 500 | − | 4 5 | ) | + | 183240 | ( | x | ÷ | 550 | − | 4 5 | ) | ( | 259 500 | − | 4 5 | ) | ( | 259 500 | − | 4 5 | ) | + | 183240 | ( | x | ÷ | 300 | − | 4 5 | ) |
2842983 6250 | x | × | 259 500 | − | 2842983 6250 | x | × | 4 5 | = | - | 24111 125 | x | × | 259 500 | + | 24111 125 | x | × | 4 5 | − | 437760 | ( | 259 500 | − | 4 5 | ) | ( | 259 500 | − | 4 5 | ) | + | 183240 | ( | x | ÷ | 550 | − | 4 5 | ) | ( | 259 500 | − | 4 5 | ) |
736332597 3125000 | x | − | 5685966 15625 | x | = | - | 6244749 62500 | x | + | 96444 625 | x | − | 437760 | ( | 259 500 | − | 4 5 | ) | ( | 259 500 | − | 4 5 | ) | + | 183240 | ( | x | ÷ | 550 | − | 4 5 | ) | ( | 259 500 | − | 4 5 | ) | ( | 259 500 | − | 4 5 | ) | + | 183240 |
x≈225.530139 , 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》