Question

(1) Solve the equation by factoring out a GCF (greatest common factor). * 2 points

Be sure to state your answer(s) using the same variable you see in the
equation. **State your answer(s) as follows: EXAMPLE: X = 21x = 5
6n² + 30n = 0

Answer 1

Explanation:

1) x - 21x = 5

x = x * 1

21x = x * 21

GCF = x

x - 21x = 5

x*(1 -21) = 5

x * (-20) = 5

-20x = 5

x =5/-20

x = -1/4

2) 6n² = 6 * n * n

30n = 6 * 5 * n

GCF = 6*n = 6n

6n² + 30n = 0

6n*(n + 5 ) = 0

6n = 0 or n + 5 = 0

n = 0 n = -5

n = 0 or -5