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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 85*(55.845*(8000-x)+(51.996*x)) = 5584.5*(8000-x) .
Question type: Equation
Solution:Original question:
Remove the bracket on the left of the equation:
The equation is transformed into :
Remove the bracket on the right of the equation:
The equation is transformed into :
Transposition :
Combine the items on the left of the equation:
Combine the items on the right of the equation:
The coefficient of the unknown number is reduced to 1 :
We obtained :
This is the solution of the equation.
Convert the result to decimal form :
☆1 equations
[ 1/1 Equation]
Work: Find the solution of equation 85*(55.845*(8000-x)+(51.996*x)) = 5584.5*(8000-x) .
Question type: Equation
Solution:Original question:
| 85 | ( | 11169 200 | ( | 8000 | − | x | ) | + | ( | 12999 250 | x | ) | ) | = | 11169 2 | ( | 8000 | − | x | ) |
| Left side of the equation = | 85 | × | 11169 200 | ( | 8000 | − | x | ) | + | 85 | ( | 12999 250 | x | ) |
| = | 189873 40 | ( | 8000 | − | x | ) | + | 85 | ( | 12999 250 | x | ) |
| = | 189873 40 | × | 8000 | − | 189873 40 | x | + | 85 | ( | 12999 250 | x | ) |
| = | 37974600 | − | 189873 40 | x | + | 85 | ( | 12999 250 | x | ) |
| = | 37974600 | − | 189873 40 | x | + | 85 | × | 12999 250 | x |
| = | 37974600 | − | 189873 40 | x | + | 220983 50 | x |
| = | 37974600 | − | 65433 200 | x |
| 37974600 | − | 65433 200 | x | = | 11169 2 | ( | 8000 | − | x | ) |
| Right side of the equation = | 11169 2 | × | 8000 | − | 11169 2 | x |
| = | 44676000 | − | 11169 2 | x |
| 37974600 | − | 65433 200 | x | = | 44676000 | − | 11169 2 | x |
Transposition :
| - | 65433 200 | x | + | 11169 2 | x | = | 44676000 | − | 37974600 |
Combine the items on the left of the equation:
1051467 200 | x | = | 44676000 | − | 37974600 |
Combine the items on the right of the equation:
1051467 200 | x | = | 6701400 |
The coefficient of the unknown number is reduced to 1 :
| x | = | 6701400 | ÷ | 1051467 200 |
| = | 6701400 | × | 200 1051467 |
| = | 131400 | × | 200 20617 |
We obtained :
| x | = | 26280000 20617 |
Convert the result to decimal form :
| x | = | 1274.676238 |