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Resolving prime factor：
Enter a composite number and click the "Next" button to get the product of the composite number into several prime numbers.
Because it needs to decompose a composite number into the product of prime numbers, the composite number should be input.
Enter a composite number and click the "Next" button to get the product of the composite number into several prime numbers.
Because it needs to decompose a composite number into the product of prime numbers, the composite number should be input.
Current location：Mathematical operation > Decomposition prime factor history > Answer
Overview: 1 questions will be solved this time.Among them
☆1 equations
[ 1/1 Equation]
Work: Find the solution of equation (7x+6)(10−5x) = 0 .
Question type: Equation
Solution:Original question:
| ( | 7 | x | + | 6 | ) | ( | 10 | − | 5 | x | ) | = | 0 |
| Left side of the equation = | 7 | x | ( | 10 | − | 5 | x | ) | + | 6 | ( | 10 | − | 5 | x | ) |
| = | 7 | x | × | 10 | − | 7 | x | × | 5 | x | + | 6 | ( | 10 | − | 5 | x | ) |
| = | 70 | x | − | 35 | x | x | + | 6 | ( | 10 | − | 5 | x | ) |
| = | 70 | x | − | 35 | x | x | + | 6 | × | 10 | − | 6 | × | 5 | x |
| = | 70 | x | − | 35 | x | x | + | 60 | − | 30 | x |
| = | 40 | x | − | 35 | x | x | + | 60 |
| 40 | x | − | 35 | x | x | + | 60 | = | 0 |
After the equation is converted into a general formula, it is converted into:
( 7x +6 )( x - 2 )=0
From
7x +6 = 0
x - 2 = 0
it is concluded that:：
| x1= | - | 6 7 |
| x2=2 |
There are 2 solution(s).
解一元二次方程的详细方法请参阅：《一元二次方程的解法》