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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 (1665+1040x-690)*1.8*1.08*1.2*0.8 = 0 .
Question type: Equation
Solution:Original question:
| ( | 1665 | + | 1040 | x | − | 690 | ) | × | 9 5 | × | 27 25 | × | 6 5 | × | 4 5 | = | 0 |
| Left side of the equation = | ( | 1665 | + | 1040 | x | − | 690 | ) | × | 5832 3125 |
| ( | 1665 | + | 1040 | x | − | 690 | ) | × | 5832 3125 | = | 0 |
| Left side of the equation = | 1665 | × | 5832 3125 | + | 1040 | x | × | 5832 3125 | − | 690 | × | 5832 3125 |
| = | 1942056 625 | + | 1213056 625 | x | − | 804816 625 |
| = | 227448 125 | + | 1213056 625 | x |
227448 125 | + | 1213056 625 | x | = | 0 |
Transposition :
1213056 625 | x | = | 0 | − | 227448 125 |
Combine the items on the right of the equation:
1213056 625 | x | = | - | 227448 125 |
The coefficient of the unknown number is reduced to 1 :
| x | = | - | 227448 125 | ÷ | 1213056 625 |
| = | - | 227448 125 | × | 625 1213056 |
| = | - | 3 | × | 5 16 |
We obtained :
| x | = | - | 15 16 |
Convert the result to decimal form :
| x | = | - 0.9375 |