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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 26.28*270*36+20.97*270*(x-36) = 447*308+443*402-459*509 .
Question type: Equation
Solution:Original question:
657 25 | × | 270 | × | 36 | + | 2097 100 | × | 270 | ( | x | − | 36 | ) | = | 447 | × | 308 | + | 443 | × | 402 | − | 459 | × | 509 |
| Left side of the equation = | 1277208 5 | + | 56619 10 | ( | x | − | 36 | ) |
1277208 5 | + | 56619 10 | ( | x | − | 36 | ) | = | 447 | × | 308 | + | 443 | × | 402 | − | 459 | × | 509 |
| Left side of the equation = | 1277208 5 | + | 56619 10 | x | − | 56619 10 | × | 36 |
| = | 1277208 5 | + | 56619 10 | x | − | 1019142 5 |
| = | 258066 5 | + | 56619 10 | x |
258066 5 | + | 56619 10 | x | = | 447 | × | 308 | + | 443 | × | 402 | − | 459 | × | 509 |
| Right side of the equation = | 137676 | + | 178086 | − | 233631 |
| = | 82131 |
258066 5 | + | 56619 10 | x | = | 82131 |
Transposition :
56619 10 | x | = | 82131 | − | 258066 5 |
Combine the items on the right of the equation:
56619 10 | x | = | 152589 5 |
The coefficient of the unknown number is reduced to 1 :
| x | = | 152589 5 | ÷ | 56619 10 |
| = | 152589 5 | × | 10 56619 |
| = | 50863 | × | 2 18873 |
We obtained :
| x | = | 101726 18873 |
Convert the result to decimal form :
| x | = | 5.390028 |