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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 x = 102.19+8.23+4.75+5.52+1+(x/1.09*0.09)*1.12+x/1.09*12%+8*942.36/4609.5 .
Question type: Equation
Solution:Original question:
| x | = | 10219 100 | + | 823 100 | + | 19 4 | + | 138 25 | + | 1 | + | ( | x | ÷ | 109 100 | × | 9 100 | ) | × | 28 25 | + | x | ÷ | 109 100 | × | 12 100 | + | 8 | × | 23559 25 |
| Right side of the equation = | 10219 100 | + | 823 100 | + | 19 4 | + | 138 25 | + | 1 | + | ( | x | ÷ | 109 100 | × | 9 100 | ) | × | 28 25 | + | x | × | 12 109 | + | 125648 76825 |
| = | 37897929 307300 | + | ( | x | ÷ | 109 100 | × | 9 100 | ) | × | 28 25 | + | 12 109 | x |
| x | = | 37897929 307300 | + | ( | x | ÷ | 109 100 | × | 9 100 | ) | × | 28 25 | + | 12 109 | x |
| Right side of the equation = | 37897929 307300 | + | x | ÷ | 109 100 | × | 9 100 | × | 28 25 | + | 12 109 | x |
| = | 37897929 307300 | + | x | × | 252 2725 | + | 12 109 | x |
| = | 37897929 307300 | + | 552 2725 | x |
| x | = | 37897929 307300 | + | 552 2725 | x |
Transposition :
| x | − | 552 2725 | x | = | 37897929 307300 |
Combine the items on the left of the equation:
2173 2725 | x | = | 37897929 307300 |
The coefficient of the unknown number is reduced to 1 :
| x | = | 37897929 307300 | ÷ | 2173 2725 |
| = | 37897929 307300 | × | 2725 2173 |
| = | 37897929 12292 | × | 109 2173 |
We obtained :
| x | = | 4130874261 26710516 |
Convert the result to decimal form :
| x | = | 154.65348 |