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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）*509*（x/800-0.8）+360/（0.518-0.8）*509*（x/550-0.8）+360/（0.518-0.8）*1520*（x/300-0.8） .
Question type: Equation
Solution:Original question:
143 10 | × | 400 | x | = | 360 | ÷ | ( | 259 500 | − | 4 5 | ) | × | 509 | ( | x | ÷ | 800 | − | 4 5 | ) | + | 360 | ÷ | ( | 259 500 | − | 4 5 | ) | × | 509 | ( | x | ÷ | 550 | − | 4 5 | ) | + | 360 | ÷ | ( | 259 500 | − | 4 5 | ) | × | 1520 | ( | x | ÷ | 300 | − | 4 5 | ) |
| Multiply both sides of the equation by: | ( | 259 500 | − | 4 5 | ) |
143 10 | × | 400 | x | ( | 259 500 | − | 4 5 | ) | = | 360 | × | 509 | ( | x | ÷ | 800 | − | 4 5 | ) | + | 360 | ÷ | ( | 259 500 | − | 4 5 | ) | × | 509 | ( | x | ÷ | 550 | − | 4 5 | ) | ( | 259 500 | − | 4 5 | ) | + | 360 | ÷ | ( | 259 500 | − | 4 5 | ) | × | 1520 | ( | x | ÷ | 300 | − | 4 5 | ) |
143 10 | × | 400 | x | × | 259 500 | − | 143 10 | × | 400 | x | × | 4 5 | = | 360 | × | 509 | ( | x | ÷ | 800 | − | 4 5 | ) | + | 360 | ÷ | ( | 259 500 | − | 4 5 | ) | × | 509 | ( | x | ÷ | 550 | − | 4 5 | ) | ( | 259 500 | − | 4 5 | ) | + | 360 | ÷ | ( | 259 500 | − | 4 5 | ) | × | 1520 | ( | x | ÷ | 300 | − | 4 5 | ) |
143 10 | × | 400 | x | × | 259 500 | − | 143 10 | × | 400 | x | × | 4 5 | = | 360 | × | 509 | x | ÷ | 800 | − | 360 | × | 509 | × | 4 5 | + | 360 | ÷ | ( | 259 500 | − | 4 5 | ) | × | 509 | ( | x | ÷ | 550 | − | 4 5 | ) | ( | 259 500 | − | 4 5 | ) |
74074 25 | x | − | 4576 | x | = | 4581 20 | x | − | 146592 | + | 183240 | ÷ | ( | 259 500 | − | 4 5 | ) | × | ( | x | ÷ | 550 | − | 4 5 | ) | ( | 259 500 | − | 4 5 | ) | + | 547200 | ÷ | ( | 259 500 | − | 4 5 | ) | × | ( | x | ÷ | 300 | − | 4 5 | ) | ( | 259 500 | − | 4 5 | ) |
| - | 40326 25 | x | = | 4581 20 | x | − | 146592 | + | 183240 | ÷ | ( | 259 500 | − | 4 5 | ) | × | ( | x | ÷ | 550 | − | 4 5 | ) | ( | 259 500 | − | 4 5 | ) | + | 547200 | ÷ | ( | 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 | ) | = | 4581 20 | x | ( | 259 500 | − | 4 5 | ) | − | 146592 | ( | 259 500 | − | 4 5 | ) | + | 183240 | ( | x | ÷ | 550 | − | 4 5 | ) | ( | 259 500 | − | 4 5 | ) | + | 547200 | ÷ | ( | 259 500 | − | 4 5 | ) | × | ( | x | ÷ | 300 | − | 4 5 | ) | ( | 259 500 | − | 4 5 | ) |
| - | 40326 25 | x | × | 259 500 | + | 40326 25 | x | × | 4 5 | = | 4581 20 | x | ( | 259 500 | − | 4 5 | ) | − | 146592 | ( | 259 500 | − | 4 5 | ) | + | 183240 | ( | x | ÷ | 550 | − | 4 5 | ) | ( | 259 500 | − | 4 5 | ) | + | 547200 | ÷ | ( | 259 500 | − | 4 5 | ) | × | ( | x | ÷ | 300 | − | 4 5 | ) | ( | 259 500 | − | 4 5 | ) |
| - | 40326 25 | x | × | 259 500 | + | 40326 25 | x | × | 4 5 | = | 4581 20 | x | × | 259 500 | − | 4581 20 | x | × | 4 5 | − | 146592 | ( | 259 500 | − | 4 5 | ) | + | 183240 | ( | x | ÷ | 550 | − | 4 5 | ) | ( | 259 500 | − | 4 5 | ) | + | 547200 |
| - | 5222217 6250 | x | + | 161304 125 | x | = | 1186479 10000 | x | − | 4581 25 | x | − | 146592 | ( | 259 500 | − | 4 5 | ) | + | 183240 | ( | x | ÷ | 550 | − | 4 5 | ) | ( | 259 500 | − | 4 5 | ) | + | 547200 | ÷ | ( | 259 500 | − | 4 5 | ) | × | ( | x | ÷ | 300 | − | 4 5 | ) |
2842983 6250 | x | = | - | 645921 10000 | x | − | 146592 | ( | 259 500 | − | 4 5 | ) | + | 183240 | ( | x | ÷ | 550 | − | 4 5 | ) | ( | 259 500 | − | 4 5 | ) | + | 547200 | ÷ | ( | 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 | ) | = | - | 645921 10000 | x | ( | 259 500 | − | 4 5 | ) | − | 146592 | ( | 259 500 | − | 4 5 | ) | ( | 259 500 | − | 4 5 | ) | + | 183240 | ( | x | ÷ | 550 | − | 4 5 | ) | ( | 259 500 | − | 4 5 | ) | ( | 259 500 | − | 4 5 | ) | + | 547200 | ( | x | ÷ | 300 | − | 4 5 | ) |
2842983 6250 | x | × | 259 500 | − | 2842983 6250 | x | × | 4 5 | = | - | 645921 10000 | x | ( | 259 500 | − | 4 5 | ) | − | 146592 | ( | 259 500 | − | 4 5 | ) | ( | 259 500 | − | 4 5 | ) | + | 183240 | ( | x | ÷ | 550 | − | 4 5 | ) | ( | 259 500 | − | 4 5 | ) | ( | 259 500 | − | 4 5 | ) | + | 547200 | ( | x | ÷ | 300 | − | 4 5 | ) |
2842983 6250 | x | × | 259 500 | − | 2842983 6250 | x | × | 4 5 | = | - | 645921 10000 | x | × | 259 500 | + | 645921 10000 | x | × | 4 5 | − | 146592 | ( | 259 500 | − | 4 5 | ) | ( | 259 500 | − | 4 5 | ) | + | 183240 | ( | x | ÷ | 550 | − | 4 5 | ) | ( | 259 500 | − | 4 5 | ) |
736332597 3125000 | x | − | 5685966 15625 | x | = | - | 167293539 5000000 | x | + | 645921 12500 | x | − | 146592 | ( | 259 500 | − | 4 5 | ) | ( | 259 500 | − | 4 5 | ) | + | 183240 | ( | x | ÷ | 550 | − | 4 5 | ) | ( | 259 500 | − | 4 5 | ) | ( | 259 500 | − | 4 5 | ) | + | 547200 |
x≈182.770103 , 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》