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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
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Work: Find the solution of equation （（10x-（330-25+183.36+10）-（10x*0.13-25）*0.1）*0.75）/700 = 0.07 .
Question type: Equation
Solution:Original question:
| ( | ( | 10 | x | − | ( | 330 | − | 25 | + | 4584 25 | + | 10 | ) | − | ( | 10 | x | × | 13 100 | − | 25 | ) | × | 1 10 | ) | × | 3 4 | ) | ÷ | 700 | = | 7 100 |
| Left side of the equation = | ( | 10 | x | − | ( | 330 | − | 25 | + | 4584 25 | + | 10 | ) | − | ( | 10 | x | × | 13 100 | − | 25 | ) | × | 1 10 | ) | × | 3 4 | × | 1 700 |
| = | ( | 10 | x | − | ( | 330 | − | 25 | + | 4584 25 | + | 10 | ) | − | ( | 10 | x | × | 13 100 | − | 25 | ) | × | 1 10 | ) | × | 3 2800 |
| = | 10 | x | × | 3 2800 | − | ( | 330 | − | 25 | + | 4584 25 | + | 10 | ) | × | 3 2800 | − | ( | 10 | x | × | 13 100 | − | 25 | ) | × | 1 10 | × | 3 2800 |
| = | 3 280 | x | − | ( | 330 | − | 25 | + | 4584 25 | + | 10 | ) | × | 3 2800 | − | ( | 10 | x | × | 13 100 | − | 25 | ) | × | 3 28000 |
| = | 3 280 | x | − | 330 | × | 3 2800 | + | 25 | × | 3 2800 | − | 4584 25 | × | 3 2800 | − | 10 | × | 3 2800 | − | ( | 10 | x | × | 13 100 | − | 25 | ) | × | 3 28000 |
| = | 3 280 | x | − | 99 280 | + | 3 112 | − | 1719 8750 | − | 3 280 | − | ( | 10 | x | × | 13 100 | − | 25 | ) | × | 3 28000 |
| = | 3 280 | x | − | 37377 70000 | − | ( | 10 | x | × | 13 100 | − | 25 | ) | × | 3 28000 |
| = | 3 280 | x | − | 37377 70000 | − | 10 | x | × | 13 100 | × | 3 28000 | + | 25 | × | 3 28000 |
| = | 3 280 | x | − | 37377 70000 | − | 39 280000 | x | + | 3 1120 |
| = | 423 40000 | x | − | 74379 140000 |
423 40000 | x | − | 74379 140000 | = | 7 100 |
Transposition :
423 40000 | x | = | 7 100 | + | 74379 140000 |
Combine the items on the right of the equation:
423 40000 | x | = | 84179 140000 |
The coefficient of the unknown number is reduced to 1 :
| x | = | 84179 140000 | ÷ | 423 40000 |
| = | 84179 140000 | × | 40000 423 |
| = | 84179 7 | × | 2 423 |
We obtained :
| x | = | 168358 2961 |
Convert the result to decimal form :
| x | = | 56.858494 |