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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 14.3×400x+300×1964+305×(3200+10(x-166))-300×1964-305×(10×(634-x)+3200)+((2.5x/650)-1) = 0 .
Question type: Equation
Solution:Original question:
143 10 | × | 400 | x | + | 300 | × | 1964 | + | 305 | ( | 3200 | + | 10 | ( | x | − | 166 | ) | ) | − | 300 | × | 1964 | − | 305 | ( | 10 | ( | 634 | − | x | ) | + | 3200 | ) | + | ( | ( | 5 2 | x | ÷ | 650 | ) | − | 1 | ) | = | 0 |
| Left side of the equation = | 5720 | x | + | 589200 | + | 305 | ( | 3200 | + | 10 | ( | x | − | 166 | ) | ) | − | 589200 | − | 305 | ( | 10 | ( | 634 | − | x | ) | + | 3200 | ) | + | ( | ( | 5 2 | x | ÷ | 650 | ) | − | 1 | ) |
| = | 5720 | x | + | 0 | + | 305 | ( | 3200 | + | 10 | ( | x | − | 166 | ) | ) | − | 305 | ( | 10 | ( | 634 | − | x | ) | + | 3200 | ) | + | ( | ( | 5 2 | x | ÷ | 650 | ) | − | 1 | ) |
| 5720 | x | + | 0 | + | 305 | ( | 3200 | + | 10 | ( | x | − | 166 | ) | ) | − | 305 | ( | 10 | ( | 634 | − | x | ) | + | 3200 | ) | + | ( | ( | 5 2 | x | ÷ | 650 | ) | − | 1 | ) | = | 0 |
| Left side of the equation = | 5720 | x | + | 0 | + | 305 | × | 3200 | + | 305 | × | 10 | ( | x | − | 166 | ) | − | 305 | ( | 10 | ( | 634 | − | x | ) | + | 3200 | ) | + | ( | ( | 5 2 | x | ÷ | 650 | ) | − | 1 | ) |
| = | 5720 | x | + | 0 | + | 976000 | + | 3050 | ( | x | − | 166 | ) | − | 305 | ( | 10 | ( | 634 | − | x | ) | + | 3200 | ) | + | ( | ( | 5 2 | x | ÷ | 650 | ) | − | 1 | ) |
| = | 5720 | x | + | 976000 | + | 3050 | ( | x | − | 166 | ) | − | 305 | ( | 10 | ( | 634 | − | x | ) | + | 3200 | ) | + | ( | ( | 5 2 | x | ÷ | 650 | ) | − | 1 | ) |
| = | 5720 | x | + | 976000 | + | 3050 | x | − | 3050 | × | 166 | − | 305 | ( | 10 | ( | 634 | − | x | ) | + | 3200 | ) | + | ( | ( | 5 2 | x | ÷ | 650 | ) | − | 1 | ) |
| = | 5720 | x | + | 976000 | + | 3050 | x | − | 506300 | − | 305 | ( | 10 | ( | 634 | − | x | ) | + | 3200 | ) | + | ( | ( | 5 2 | x | ÷ | 650 | ) | − | 1 | ) |
| = | 8770 | x | + | 469700 | − | 305 | ( | 10 | ( | 634 | − | x | ) | + | 3200 | ) | + | ( | ( | 5 2 | x | ÷ | 650 | ) | − | 1 | ) |
| = | 8770 | x | + | 469700 | − | 305 | × | 10 | ( | 634 | − | x | ) | − | 305 | × | 3200 | + | ( | ( | 5 2 | x | ÷ | 650 | ) | − | 1 | ) |
| = | 8770 | x | + | 469700 | − | 3050 | ( | 634 | − | x | ) | − | 976000 | + | ( | ( | 5 2 | x | ÷ | 650 | ) | − | 1 | ) |
| = | 8770 | x | − | 506300 | − | 3050 | ( | 634 | − | x | ) | + | ( | ( | 5 2 | x | ÷ | 650 | ) | − | 1 | ) |
| = | 8770 | x | − | 506300 | − | 3050 | × | 634 | + | 3050 | x | + | ( | ( | 5 2 | x | ÷ | 650 | ) | − | 1 | ) |
| = | 8770 | x | − | 506300 | − | 1933700 | + | 3050 | x | + | ( | ( | 5 2 | x | ÷ | 650 | ) | − | 1 | ) |
| = | 11820 | x | − | 2440000 | + | ( | ( | 5 2 | x | ÷ | 650 | ) | − | 1 | ) |
| = | 11820 | x | − | 2440000 | + | ( | 5 2 | x | ÷ | 650 | ) | − | 1 |
| = | 11820 | x | − | 2440001 | + | ( | 5 2 | x | ÷ | 650 | ) |
| = | 11820 | x | − | 2440001 | + | 5 2 | x | ÷ | 650 |
| = | 11820 | x | − | 2440001 | + | 1 260 | x |
| = | 3073201 260 | x | − | 2440001 |
3073201 260 | x | − | 2440001 | = | 0 |
Transposition :
3073201 260 | x | = | 0 | + | 2440001 |
Combine the items on the right of the equation:
3073201 260 | x | = | 2440001 |
The coefficient of the unknown number is reduced to 1 :
| x | = | 2440001 | ÷ | 3073201 260 |
| = | 2440001 | × | 260 3073201 |
We obtained :
| x | = | 634400260 3073201 |
Convert the result to decimal form :
| x | = | 206.429797 |