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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 8.96×77.11+0.18x = （77.11+x）×7.97 .
Question type: Equation
Solution:Original question:
224 25 | × | 7711 100 | + | 9 50 | x | = | ( | 7711 100 | + | x | ) | × | 797 100 |
| Left side of the equation = | 431816 625 | + | 9 50 | x |
431816 625 | + | 9 50 | x | = | ( | 7711 100 | + | x | ) | × | 797 100 |
| Right side of the equation = | 7711 100 | × | 797 100 | + | x | × | 797 100 |
| = | 6145667 10000 | + | x | × | 797 100 |
431816 625 | + | 9 50 | x | = | 6145667 10000 | + | 797 100 | x |
Transposition :
9 50 | x | − | 797 100 | x | = | 6145667 10000 | − | 431816 625 |
Combine the items on the left of the equation:
| - | 779 100 | x | = | 6145667 10000 | − | 431816 625 |
Combine the items on the right of the equation:
| - | 779 100 | x | = | - | 763389 10000 |
By shifting the terms and changing the symbols on toth sides of the equation, we obtain :
763389 10000 | = | 779 100 | 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 :
779 100 | x | = | 763389 10000 |
The coefficient of the unknown number is reduced to 1 :
| x | = | 763389 10000 | ÷ | 779 100 |
| = | 763389 10000 | × | 100 779 |
| = | 763389 100 | × | 1 779 |
We obtained :
| x | = | 763389 77900 |
Convert the result to decimal form :
| x | = | 9.799602 |