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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 = 462*443+0.9*509*459-0.9*402*440-660*(1.25x-84-25)/(1.25x-84) .
Question type: Equation
Solution:Original question:
9 10 | × | 657 25 | × | 270 | × | 84 | = | 462 | × | 443 | + | 9 10 | × | 509 | × | 459 | − | 9 10 | × | 402 | × | 440 | − | 660 | ( | 5 4 | x | − | 84 | − | 25 | ) | ÷ | ( | 5 4 | x | − | 84 | ) |
| Multiply both sides of the equation by: | ( | 5 4 | x | − | 84 | ) |
9 10 | × | 657 25 | × | 270 | × | 84 | ( | 5 4 | x | − | 84 | ) | = | 462 | × | 443 | ( | 5 4 | x | − | 84 | ) | + | 9 10 | × | 509 | × | 459 | ( | 5 4 | x | − | 84 | ) | − | 9 10 | × | 402 | × | 440 | ( | 5 4 | x | − | 84 | ) | − | 660 |
9 10 | × | 657 25 | × | 270 | × | 84 | × | 5 4 | x | − | 9 10 | × | 657 25 | × | 270 | × | 84 | × | 84 | = | 462 | × | 443 | ( | 5 4 | x | − | 84 | ) | + | 9 10 | × | 509 | × | 459 | ( | 5 4 | x | − | 84 | ) | − | 9 10 | × | 402 | × | 440 | ( | 5 4 | x | − | 84 | ) | − | 660 |
9 10 | × | 657 25 | × | 270 | × | 84 | × | 5 4 | x | − | 9 10 | × | 657 25 | × | 270 | × | 84 | × | 84 | = | 462 | × | 443 | × | 5 4 | x | − | 462 | × | 443 | × | 84 | + | 9 10 | × | 509 | × | 459 | ( | 5 4 | x | − | 84 | ) | − | 9 10 |
3352671 5 | x | − | 1126497456 25 | = | 511665 2 | x | − | 17191944 | + | 2102679 10 | ( | 5 4 | x | − | 84 | ) | − | 159192 | ( | 5 4 | x | − | 84 | ) | − | 660 | ( | 5 4 | x | − | 84 | − | 25 | ) |
3352671 5 | x | − | 1126497456 25 | = | 511665 2 | x | − | 17191944 | + | 2102679 10 | × | 5 4 | x | − | 2102679 10 | × | 84 | − | 159192 | ( | 5 4 | x | − | 84 | ) | − | 660 | ( | 5 4 | x | − | 84 | − | 25 | ) |
3352671 5 | x | − | 1126497456 25 | = | 511665 2 | x | − | 17191944 | + | 2102679 8 | x | − | 88312518 5 | − | 159192 | ( | 5 4 | x | − | 84 | ) | − | 660 | ( | 5 4 | x | − | 84 | − | 25 | ) |
3352671 5 | x | − | 1126497456 25 | = | 4149339 8 | x | − | 174272238 5 | − | 159192 | ( | 5 4 | x | − | 84 | ) | − | 660 | ( | 5 4 | x | − | 84 | − | 25 | ) |
3352671 5 | x | − | 1126497456 25 | = | 4149339 8 | x | − | 174272238 5 | − | 159192 | × | 5 4 | x | + | 159192 | × | 84 | − | 660 | ( | 5 4 | x | − | 84 | − | 25 | ) |
3352671 5 | x | − | 1126497456 25 | = | 4149339 8 | x | − | 174272238 5 | − | 198990 | x | + | 13372128 | − | 660 | ( | 5 4 | x | − | 84 | − | 25 | ) |
3352671 5 | x | − | 1126497456 25 | = | 2557419 8 | x | − | 107411598 5 | − | 660 | ( | 5 4 | x | − | 84 | − | 25 | ) |
3352671 5 | x | − | 1126497456 25 | = | 2557419 8 | x | − | 107411598 5 | − | 660 | × | 5 4 | x | + | 660 | × | 84 | + | 660 | × | 25 |
3352671 5 | x | − | 1126497456 25 | = | 2557419 8 | x | − | 107411598 5 | − | 825 | x | + | 55440 | + | 16500 |
3352671 5 | x | − | 1126497456 25 | = | 2550819 8 | x | − | 107051898 5 |
Transposition :
3352671 5 | x | − | 2550819 8 | x | = | - | 107051898 5 | + | 1126497456 25 |
Combine the items on the left of the equation:
14067273 40 | x | = | - | 107051898 5 | + | 1126497456 25 |
Combine the items on the right of the equation:
14067273 40 | x | = | 591237966 25 |
The coefficient of the unknown number is reduced to 1 :
| x | = | 591237966 25 | ÷ | 14067273 40 |
| = | 591237966 25 | × | 40 14067273 |
| = | 17916302 5 | × | 8 426281 |
We obtained :
| x | = | 143330416 2131405 |
Convert the result to decimal form :
| x | = | 67.246917 |