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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 (81.54-8x)*0.5885+10 = 1.2((81.54-8x)*0.4226+4.23x) .
Question type: Equation
Solution:Original question:
| ( | 4077 50 | − | 8 | x | ) | × | 1177 2000 | + | 10 | = | 6 5 | ( | ( | 4077 50 | − | 8 | x | ) | × | 2113 5000 | + | 423 100 | x | ) |
| Left side of the equation = | 4077 50 | × | 1177 2000 | − | 8 | x | × | 1177 2000 | + | 10 |
| = | 4798629 100000 | − | 1177 250 | x | + | 10 |
| = | 5798629 100000 | − | 1177 250 | x |
5798629 100000 | − | 1177 250 | x | = | 6 5 | ( | ( | 4077 50 | − | 8 | x | ) | × | 2113 5000 | + | 423 100 | x | ) |
| Right side of the equation = | 6 5 | ( | 4077 50 | − | 8 | x | ) | × | 2113 5000 | + | 6 5 | × | 423 100 | x |
| = | 6339 12500 | ( | 4077 50 | − | 8 | x | ) | + | 1269 250 | x |
| = | 6339 12500 | × | 4077 50 | − | 6339 12500 | × | 8 | x | + | 1269 250 | x |
| = | 25844103 625000 | − | 12678 3125 | x | + | 1269 250 | x |
| = | 25844103 625000 | + | 6369 6250 | x |
5798629 100000 | − | 1177 250 | x | = | 25844103 625000 | + | 6369 6250 | x |
Transposition :
| - | 1177 250 | x | − | 6369 6250 | x | = | 25844103 625000 | − | 5798629 100000 |
Combine the items on the left of the equation:
| - | 17897 3125 | x | = | 25844103 625000 | − | 5798629 100000 |
x≈2.904768 , keep 6 decimal places
There are 1 solution(s).
解一元一次方程的详细方法请参阅：《一元一次方程的解法》