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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 3.5567*120+2*3.5+6*4+3*3.3+4*3.5+4*x = 3.6*(135+x) .
Question type: Equation
Solution:Original question:
35567 10000 | × | 120 | + | 2 | × | 7 2 | + | 6 | × | 4 | + | 3 | × | 33 10 | + | 4 | × | 7 2 | + | 4 | x | = | 18 5 | ( | 135 | + | x | ) |
| Left side of the equation = | 106701 250 | + | 7 | + | 24 | + | 99 10 | + | 14 | + | 4 | x |
| = | 60213 125 | + | 4 | x |
60213 125 | + | 4 | x | = | 18 5 | ( | 135 | + | x | ) |
| Right side of the equation = | 18 5 | × | 135 | + | 18 5 | x |
| = | 486 | + | 18 5 | x |
60213 125 | + | 4 | x | = | 486 | + | 18 5 | x |
Transposition :
| 4 | x | − | 18 5 | x | = | 486 | − | 60213 125 |
Combine the items on the left of the equation:
2 5 | x | = | 486 | − | 60213 125 |
Combine the items on the right of the equation:
2 5 | x | = | 537 125 |
The coefficient of the unknown number is reduced to 1 :
| x | = | 537 125 | ÷ | 2 5 |
| = | 537 125 | × | 5 2 |
| = | 537 25 | × | 1 2 |
We obtained :
| x | = | 537 50 |
Convert the result to decimal form :
| x | = | 10.74 |