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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 0.9*26.28*270*84+16.72*150*(x-84)+0.9*26.8*(270-150)*(x-84) = 0.9*509*458.7+339*496.9-308*443.1-0.9*402*439.8 .
Question type: Equation
Solution:Original question:
9 10 | × | 657 25 | × | 270 | × | 84 | + | 418 25 | × | 150 | ( | x | − | 84 | ) | + | 9 10 | × | 134 5 | ( | 270 | − | 150 | ) | ( | x | − | 84 | ) | = | 9 10 | × | 509 | × | 4587 10 | + | 339 | × | 4969 10 | − | 308 | × | 4431 10 | − | 9 10 | × | 402 | × | 2199 5 |
| Left side of the equation = | 13410684 25 | + | 2508 | ( | x | − | 84 | ) | + | 603 25 | ( | 270 | − | 150 | ) | ( | x | − | 84 | ) |
13410684 25 | + | 2508 | ( | x | − | 84 | ) | + | 603 25 | ( | 270 | − | 150 | ) | ( | x | − | 84 | ) | = | 9 10 | × | 509 | × | 4587 10 | + | 339 | × | 4969 10 | − | 308 | × | 4431 10 | − | 9 10 | × | 402 | × | 2199 5 |
| Left side of the equation = | 13410684 25 | + | 2508 | x | − | 2508 | × | 84 | + | 603 25 | ( | 270 | − | 150 | ) | ( | x | − | 84 | ) |
| = | 13410684 25 | + | 2508 | x | − | 210672 | + | 603 25 | ( | 270 | − | 150 | ) | ( | x | − | 84 | ) |
| = | 8143884 25 | + | 2508 | x | + | 603 25 | ( | 270 | − | 150 | ) | ( | x | − | 84 | ) |
| = | 8143884 25 | + | 2508 | x | + | 603 25 | × | 270 | ( | x | − | 84 | ) | − | 603 25 | × | 150 | ( | x | − | 84 | ) |
| = | 8143884 25 | + | 2508 | x | + | 32562 5 | ( | x | − | 84 | ) | − | 3618 | ( | x | − | 84 | ) |
| = | 8143884 25 | + | 2508 | x | + | 32562 5 | x | − | 32562 5 | × | 84 | − | 3618 | ( | x | − | 84 | ) |
| = | 8143884 25 | + | 2508 | x | + | 32562 5 | x | − | 2735208 5 | − | 3618 | ( | x | − | 84 | ) |
| = | - | 5532156 25 | + | 45102 5 | x | − | 3618 | ( | x | − | 84 | ) |
| = | - | 5532156 25 | + | 45102 5 | x | − | 3618 | x | + | 3618 | × | 84 |
| = | - | 5532156 25 | + | 45102 5 | x | − | 3618 | x | + | 303912 |
| = | 2065644 25 | + | 27012 5 | x |
2065644 25 | + | 27012 5 | x | = | 9 10 | × | 509 | × | 4587 10 | + | 339 | × | 4969 10 | − | 308 | × | 4431 10 | − | 9 10 | × | 402 | × | 2199 5 |
| Right side of the equation = | 21013047 100 | + | 1684491 10 | − | 682374 5 | − | 3977991 25 |
| = | 8298513 100 |
2065644 25 | + | 27012 5 | x | = | 8298513 100 |
Transposition :
27012 5 | x | = | 8298513 100 | − | 2065644 25 |
Combine the items on the right of the equation:
27012 5 | x | = | 35937 100 |
The coefficient of the unknown number is reduced to 1 :
| x | = | 35937 100 | ÷ | 27012 5 |
| = | 35937 100 | × | 5 27012 |
| = | 11979 20 | × | 1 9004 |
We obtained :
| x | = | 11979 180080 |
Convert the result to decimal form :
| x | = | 0.06652 |