- Factoring a quadratic equation can be defined as the process of breaking the equation into the product of its factors.
- Factorize the equation by breaking down the middle term.
- Let’s identify two factors such that their sum is 7 and the product is -18.
Sum of two factors = 7 = 9 - 2
Product of these two factors = 9 × (-2) = 18
- Now, split the middle term.
- Take the common terms and simplify.
Thus, (3x - 1) and (2x + 3) are the factors of the given quadratic equation.
- Solving these two linear factors, we get
Answer:
x = 61
Step-by-step explanation:
A straight line equals 180, so:
2x + 3 + x - 6 = 180
add like terms
3x - 3 = 180
add 3 to both sides
3x = 183
divide by 3
x = 61
Answer:
1. 5w+2(w+5) = 5w+2w+10
7w+10-6w+2(9w+3) = 1w+18w+10+6
19w+16+38-4w = 15w+54
15w+54
2. 3(5w+18)
5w(3)= 15w
18(3)=54
15w+54