Equations
Fold
Math OP
Unfold
Linear algebra
Unfold
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-25+10）×0.6÷（x-25+10）×0.6+（180-x+15×1.3） = 24.6% .
Question type: Equation
Solution:Original question:
| ( | x | − | 25 | + | 10 | ) | × | 3 5 | ÷ | ( | x | − | 25 | + | 10 | ) | × | 3 5 | + | ( | 180 | − | x | + | 15 | × | 13 10 | ) | = | 123 500 |
| Multiply both sides of the equation by: | ( | x | − | 25 | + | 10 | ) |
| ( | x | − | 25 | + | 10 | ) | × | 3 5 | × | 3 5 | + | ( | 180 | − | x | + | 15 | × | 13 10 | ) | ( | x | − | 25 | + | 10 | ) | = | 123 500 | ( | x | − | 25 | + | 10 | ) |
| x | × | 3 5 | × | 3 5 | − | 25 | × | 3 5 | × | 3 5 | + | 10 | × | 3 5 | × | 3 5 | + | ( | 180 | − | x | + | 15 | × | 13 10 | ) | ( | x | − | 25 | + | 10 | ) | = | 123 500 | ( | x | − | 25 | + | 10 | ) |
| x | × | 3 5 | × | 3 5 | − | 25 | × | 3 5 | × | 3 5 | + | 10 | × | 3 5 | × | 3 5 | + | ( | 180 | − | x | + | 15 | × | 13 10 | ) | ( | x | − | 25 | + | 10 | ) | = | 123 500 | x | − | 123 500 | × | 25 | + | 123 500 | × | 10 |
| x | × | 9 25 | − | 9 | + | 18 5 | + | ( | 180 | − | x | + | 15 | × | 13 10 | ) | ( | x | − | 25 | + | 10 | ) | = | 123 500 | x | − | 123 20 | + | 123 50 |
9 25 | x | − | 27 5 | + | ( | 180 | − | x | + | 15 | × | 13 10 | ) | ( | x | − | 25 | + | 10 | ) | = | 123 500 | x | − | 369 100 |
9 25 | x | − | 27 5 | + | 180 | ( | x | − | 25 | + | 10 | ) | − | x | ( | x | − | 25 | + | 10 | ) | + | 15 | × | 13 10 | ( | x | − | 25 | + | 10 | ) | = | 123 500 | x | − | 369 100 |
9 25 | x | − | 27 5 | + | 180 | ( | x | − | 25 | + | 10 | ) | − | x | ( | x | − | 25 | + | 10 | ) | + | 39 2 | ( | x | − | 25 | + | 10 | ) | = | 123 500 | x | − | 369 100 |
9 25 | x | − | 27 5 | + | 180 | x | − | 180 | × | 25 | + | 180 | × | 10 | − | x | ( | x | − | 25 | + | 10 | ) | + | 39 2 | = | 123 500 | x | − | 369 100 |
9 25 | x | − | 27 5 | + | 180 | x | − | 4500 | + | 1800 | − | x | ( | x | − | 25 | + | 10 | ) | + | 39 2 | ( | x | − | 25 | + | 10 | ) | = | 123 500 | x | − | 369 100 |
4509 25 | x | − | 13527 5 | − | x | ( | x | − | 25 | + | 10 | ) | + | 39 2 | ( | x | − | 25 | + | 10 | ) | = | 123 500 | x | − | 369 100 |
4509 25 | x | − | 13527 5 | − | x | x | + | x | × | 25 | − | x | × | 10 | + | 39 2 | ( | x | − | 25 | + | 10 | ) | = | 123 500 | x | − | 369 100 |
4884 25 | x | − | 13527 5 | − | x | x | + | 39 2 | ( | x | − | 25 | + | 10 | ) | = | 123 500 | x | − | 369 100 |
4884 25 | x | − | 13527 5 | − | x | x | + | 39 2 | x | − | 39 2 | × | 25 | + | 39 2 | × | 10 | = | 123 500 | x | − | 369 100 |
4884 25 | x | − | 13527 5 | − | x | x | + | 39 2 | x | − | 975 2 | + | 195 | = | 123 500 | x | − | 369 100 |
10743 50 | x | − | 29979 10 | − | x | x | = | 123 500 | x | − | 369 100 |
| x= | 99807 500 |
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》