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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 [36Q-(224.1+12.445Q)-(36Q*0.13-2.75Q)*0.12]*0.75+90+293.76 = 515 .
Question type: Equation
Solution:Original question:
The equation is transformed into :
Remove the bracket on the left of the equation:
The equation is transformed into :
Transposition :
Combine the items on the right of the equation:
The coefficient of the unknown number is reduced to 1 :
We obtained :
This is the solution of the equation.
Convert the result to decimal form :
☆1 equations
[ 1/1 Equation]
Work: Find the solution of equation [36Q-(224.1+12.445Q)-(36Q*0.13-2.75Q)*0.12]*0.75+90+293.76 = 515 .
Question type: Equation
Solution:Original question:
| ( | 36 | Q | − | ( | 2241 10 | + | 2489 200 | Q | ) | − | ( | 36 | Q | × | 13 100 | − | 11 4 | Q | ) | × | 3 25 | ) | × | 3 4 | + | 90 | + | 7344 25 | = | 515 |
| Left side of the equation = | ( | 36 | Q | − | ( | 2241 10 | + | 2489 200 | Q | ) | − | ( | 36 | Q | × | 13 100 | − | 11 4 | Q | ) | × | 3 25 | ) | × | 3 4 | + | 9594 25 |
| ( | 36 | Q | − | ( | 2241 10 | + | 2489 200 | Q | ) | − | ( | 36 | Q | × | 13 100 | − | 11 4 | Q | ) | × | 3 25 | ) | × | 3 4 | + | 9594 25 | = | 515 |
| Left side of the equation = | 36 | Q | × | 3 4 | − | ( | 2241 10 | + | 2489 200 | Q | ) | × | 3 4 | − | ( | 36 | Q | × | 13 100 | − | 11 4 | Q | ) | × | 3 25 | × | 3 4 | + | 9594 25 |
| = | 27 | Q | − | ( | 2241 10 | + | 2489 200 | Q | ) | × | 3 4 | − | ( | 36 | Q | × | 13 100 | − | 11 4 | Q | ) | × | 9 100 | + | 9594 25 |
| = | 27 | Q | − | 2241 10 | × | 3 4 | − | 2489 200 | Q | × | 3 4 | − | ( | 36 | Q | × | 13 100 | − | 11 4 | Q | ) | × | 9 100 | + | 9594 25 |
| = | 27 | Q | − | 6723 40 | − | 7467 800 | Q | − | ( | 36 | Q | × | 13 100 | − | 11 4 | Q | ) | × | 9 100 | + | 9594 25 |
| = | 14133 800 | Q | + | 43137 200 | − | ( | 36 | Q | × | 13 100 | − | 11 4 | Q | ) | × | 9 100 |
| = | 14133 800 | Q | + | 43137 200 | − | 36 | Q | × | 13 100 | × | 9 100 | + | 11 4 | Q | × | 9 100 |
| = | 14133 800 | Q | + | 43137 200 | − | 1053 2500 | Q | + | 99 400 | Q |
| = | 349851 20000 | Q | + | 43137 200 |
349851 20000 | Q | + | 43137 200 | = | 515 |
Transposition :
349851 20000 | Q | = | 515 | − | 43137 200 |
Combine the items on the right of the equation:
349851 20000 | Q | = | 59863 200 |
The coefficient of the unknown number is reduced to 1 :
| Q | = | 59863 200 | ÷ | 349851 20000 |
| = | 59863 200 | × | 20000 349851 |
| = | 59863 | × | 100 349851 |
We obtained :
| Q | = | 5986300 349851 |
Convert the result to decimal form :
| Q | = | 17.110999 |