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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 10x = 1.3（0.57-0.255*0.86）（100-10x）-1.11*0.7 .
Question type: Equation
Solution:Original question:
| 10 | x | = | 13 10 | ( | 57 100 | − | 51 200 | × | 43 50 | ) | ( | 100 | − | 10 | x | ) | − | 111 100 | × | 7 10 |
| Right side of the equation = | 13 10 | ( | 57 100 | − | 51 200 | × | 43 50 | ) | ( | 100 | − | 10 | x | ) | − | 777 1000 |
| 10 | x | = | 13 10 | ( | 57 100 | − | 51 200 | × | 43 50 | ) | ( | 100 | − | 10 | x | ) | − | 777 1000 |
| Right side of the equation = | 13 10 | × | 57 100 | ( | 100 | − | 10 | x | ) | − | 13 10 | × | 51 200 | × | 43 50 | ( | 100 | − | 10 | x | ) | − | 777 1000 |
| = | 741 1000 | ( | 100 | − | 10 | x | ) | − | 28509 100000 | ( | 100 | − | 10 | x | ) | − | 777 1000 |
| = | 741 1000 | × | 100 | − | 741 1000 | × | 10 | x | − | 28509 100000 | ( | 100 | − | 10 | x | ) | − | 777 1000 |
| = | 741 10 | − | 741 100 | x | − | 28509 100000 | ( | 100 | − | 10 | x | ) | − | 777 1000 |
| = | 73323 1000 | − | 741 100 | x | − | 28509 100000 | ( | 100 | − | 10 | x | ) |
| = | 73323 1000 | − | 741 100 | x | − | 28509 100000 | × | 100 | + | 28509 100000 | × | 10 | x |
| = | 73323 1000 | − | 741 100 | x | − | 28509 1000 | + | 28509 10000 | x |
| = | 22407 500 | − | 45591 10000 | x |
| 10 | x | = | 22407 500 | − | 45591 10000 | x |
Transposition :
| 10 | x | + | 45591 10000 | x | = | 22407 500 |
Combine the items on the left of the equation:
145591 10000 | x | = | 22407 500 |
The coefficient of the unknown number is reduced to 1 :
| x | = | 22407 500 | ÷ | 145591 10000 |
| = | 22407 500 | × | 10000 145591 |
| = | 22407 | × | 20 145591 |
We obtained :
| x | = | 448140 145591 |
Convert the result to decimal form :
| x | = | 3.078075 |