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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 4.184*（298-x） = 333.4*0.15+0.15*4.184*（x-273） .
Question type: Equation
Solution:Original question:
Remove the bracket on the left of the equation:
The equation is transformed into :
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:
By shifting the terms and changing the symbols on toth sides of the equation, we obtain :
If the left side of the equation is equal to the right side, then the right side must also be equal to the left side, that is :
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 4.184*（298-x） = 333.4*0.15+0.15*4.184*（x-273） .
Question type: Equation
Solution:Original question:
523 125 | ( | 298 | − | x | ) | = | 1667 5 | × | 3 20 | + | 3 20 | × | 523 125 | ( | x | − | 273 | ) |
| Left side of the equation = | 523 125 | × | 298 | − | 523 125 | x |
| = | 155854 125 | − | 523 125 | x |
155854 125 | − | 523 125 | x | = | 1667 5 | × | 3 20 | + | 3 20 | × | 523 125 | ( | x | − | 273 | ) |
| Right side of the equation = | 5001 100 | + | 1569 2500 | ( | x | − | 273 | ) |
155854 125 | − | 523 125 | x | = | 5001 100 | + | 1569 2500 | ( | x | − | 273 | ) |
| Right side of the equation = | 5001 100 | + | 1569 2500 | x | − | 1569 2500 | × | 273 |
| = | 5001 100 | + | 1569 2500 | x | − | 428337 2500 |
| = | - | 75828 625 | + | 1569 2500 | x |
155854 125 | − | 523 125 | x | = | - | 75828 625 | + | 1569 2500 | x |
Transposition :
| - | 523 125 | x | − | 1569 2500 | x | = | - | 75828 625 | − | 155854 125 |
Combine the items on the left of the equation:
| - | 12029 2500 | x | = | - | 75828 625 | − | 155854 125 |
Combine the items on the right of the equation:
| - | 12029 2500 | x | = | - | 855098 625 |
By shifting the terms and changing the symbols on toth sides of the equation, we obtain :
855098 625 | = | 12029 2500 | x |
If the left side of the equation is equal to the right side, then the right side must also be equal to the left side, that is :
12029 2500 | x | = | 855098 625 |
The coefficient of the unknown number is reduced to 1 :
| x | = | 855098 625 | ÷ | 12029 2500 |
| = | 855098 625 | × | 2500 12029 |
| = | 855098 | × | 4 12029 |
We obtained :
| x | = | 3420392 12029 |
Convert the result to decimal form :
| x | = | 284.345498 |