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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 118320*（m-1)*(1+2+3+m)/780000*m = 0 .
Question type: Equation
Solution:Original question:
| 118320 | ( | m | − | 1 | ) | ( | 1 | + | 2 | + | 3 | + | m | ) | ÷ | 780000 | × | m | = | 0 |
| Left side of the equation = | 493 3250 | ( | m | − | 1 | ) | ( | 1 | + | 2 | + | 3 | + | m | ) | m |
493 3250 | ( | m | − | 1 | ) | ( | 1 | + | 2 | + | 3 | + | m | ) | m | = | 0 |
| Left side of the equation = | 493 3250 | m | ( | 1 | + | 2 | + | 3 | + | m | ) | m | − | 493 3250 | × | 1 | ( | 1 | + | 2 | + | 3 | + | m | ) | m |
| = | 493 3250 | m | ( | 1 | + | 2 | + | 3 | + | m | ) | m | − | 493 3250 | ( | 1 | + | 2 | + | 3 | + | m | ) | m |
| = | 493 3250 | m | × | 1 | m | + | 493 3250 | m | × | 2 | m | + | 493 3250 | m | × | 3 | m |
| = | 493 3250 | m | m | + | 493 1625 | m | m | + | 1479 3250 | m | m | + | 493 3250 | m | m |
| = | 493 3250 | m | m | + | 493 1625 | m | m | + | 1479 3250 | m | m | + | 493 3250 | m | m |
| = | 493 3250 | m | m | + | 493 1625 | m | m | + | 1479 3250 | m | m | + | 493 3250 | m | m |
| = | 493 3250 | m | m | + | 493 1625 | m | m | + | 1479 3250 | m | m | + | 493 3250 | m | m |
493 3250 | m | m | + | 493 1625 | m | m | + | 1479 3250 | m | m | + | 493 3250 | m | m | = | 0 |
After the equation is converted into a general formula, it is converted into:
( m + 6 )( m - 0 )( m - 1 )=0
From
m + 6 = 0
m - 0 = 0
m - 1 = 0
it is concluded that:：
m1=-6
m2=0
m3=1
There are 3 solution(s).
解程的详细方法请参阅：《方程的解法》