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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 （8×90＋X－740－53.6×10％）×（1－25％）＋357.29 = 424.36 .
Question type: Equation
Solution:Original question:
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 （8×90＋X－740－53.6×10％）×（1－25％）＋357.29 = 424.36 .
Question type: Equation
Solution:Original question:
| ( | 8 | × | 90 | + | X | − | 740 | − | 268 5 | × | 10 100 | ) | ( | 1 | − | 25 100 | ) | + | 35729 100 | = | 10609 25 |
| Left side of the equation = | 8 | × | 90 | ( | 1 | − | 25 100 | ) | + | X | ( | 1 | − | 25 100 | ) | − | 740 | ( | 1 | − | 25 100 | ) | − | 268 5 | × | 10 100 | ( | 1 | − | 25 100 | ) | + | 35729 100 |
| = | 720 | ( | 1 | − | 25 100 | ) | + | X | ( | 1 | − | 25 100 | ) | − | 740 | ( | 1 | − | 25 100 | ) | − | 134 25 | ( | 1 | − | 25 100 | ) | + | 35729 100 |
| = | 720 | × | 1 | − | 720 | × | 25 100 | + | X | ( | 1 | − | 25 100 | ) | − | 740 | ( | 1 | − | 25 100 | ) | − | 134 25 | ( | 1 | − | 25 100 | ) | + | 35729 100 |
| = | 720 | − | 180 | + | X | ( | 1 | − | 25 100 | ) | − | 740 | ( | 1 | − | 25 100 | ) | − | 134 25 | ( | 1 | − | 25 100 | ) | + | 35729 100 |
| = | 89729 100 | + | X | ( | 1 | − | 25 100 | ) | − | 740 | ( | 1 | − | 25 100 | ) | − | 134 25 | ( | 1 | − | 25 100 | ) |
| = | 89729 100 | + | X | × | 1 | − | X | × | 25 100 | − | 740 | ( | 1 | − | 25 100 | ) | − | 134 25 | ( | 1 | − | 25 100 | ) |
| = | 89729 100 | + | 3 4 | X | − | 740 | ( | 1 | − | 25 100 | ) | − | 134 25 | ( | 1 | − | 25 100 | ) |
| = | 89729 100 | + | 3 4 | X | − | 740 | × | 1 | + | 740 | × | 25 100 | − | 134 25 | ( | 1 | − | 25 100 | ) |
| = | 89729 100 | + | 3 4 | X | − | 740 | + | 185 | − | 134 25 | ( | 1 | − | 25 100 | ) |
| = | 34229 100 | + | 3 4 | X | − | 134 25 | ( | 1 | − | 25 100 | ) |
| = | 34229 100 | + | 3 4 | X | − | 134 25 | × | 1 | + | 134 25 | × | 25 100 |
| = | 34229 100 | + | 3 4 | X | − | 134 25 | + | 67 50 |
| = | 33827 100 | + | 3 4 | X |
33827 100 | + | 3 4 | X | = | 10609 25 |
Transposition :
3 4 | X | = | 10609 25 | − | 33827 100 |
Combine the items on the right of the equation:
3 4 | X | = | 8609 100 |
The coefficient of the unknown number is reduced to 1 :
| X | = | 8609 100 | ÷ | 3 4 |
| = | 8609 100 | × | 4 3 |
| = | 8609 25 | × | 1 3 |
We obtained :
| X | = | 8609 75 |
Convert the result to decimal form :
| X | = | 114.786667 |