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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 10000+16000*（1+x）*.0375*.6412 = 10000*（1+x） .
Question type: Equation
Solution:Original question:
The equation is transformed into :
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:
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 10000+16000*（1+x）*.0375*.6412 = 10000*（1+x） .
Question type: Equation
Solution:Original question:
| 10000 | + | 16000 | ( | 1 | + | x | ) | × | 3 80 | × | 1603 2500 | = | 10000 | ( | 1 | + | x | ) |
| Left side of the equation = | 10000 | + | 9618 25 | ( | 1 | + | x | ) |
| 10000 | + | 9618 25 | ( | 1 | + | x | ) | = | 10000 | ( | 1 | + | x | ) |
| Left side of the equation = | 10000 | + | 9618 25 | × | 1 | + | 9618 25 | x |
| = | 10000 | + | 9618 25 | + | 9618 25 | x |
| = | 259618 25 | + | 9618 25 | x |
259618 25 | + | 9618 25 | x | = | 10000 | ( | 1 | + | x | ) |
| Right side of the equation = | 10000 | × | 1 | + | 10000 | x |
| = | 10000 | + | 10000 | x |
259618 25 | + | 9618 25 | x | = | 10000 | + | 10000 | x |
Transposition :
9618 25 | x | − | 10000 | x | = | 10000 | − | 259618 25 |
Combine the items on the left of the equation:
| - | 240382 25 | x | = | 10000 | − | 259618 25 |
Combine the items on the right of the equation:
| - | 240382 25 | x | = | - | 9618 25 |
By shifting the terms and changing the symbols on toth sides of the equation, we obtain :
9618 25 | = | 240382 25 | 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 :
240382 25 | x | = | 9618 25 |
The coefficient of the unknown number is reduced to 1 :
| x | = | 9618 25 | ÷ | 240382 25 |
| = | 9618 25 | × | 25 240382 |
| = | 4809 | × | 1 120191 |
We obtained :
| x | = | 4809 120191 |
Convert the result to decimal form :
| x | = | 0.040011 |