Question

(w+6)(w+7) how to solve

Answer 1

(w+6)(w+7) = 0

w(w) + w(7) + 6(w) + 6(7) = 0
w² + 7w + 6w + 42 = 0
w² + 13w + 42 = 0

w + 6 = 0
w = -6
w² + 13w + 42 = 0
-6² + 13(-6) + 42 = 0
36 - 78 + 42 =
78 - 78 = 0
0 = 0

w + 7 = 0
w = -7

w² + 13w + 42 = 0
-7² + 13(-7) + 42 = 0
49 - 91 + 42 = 0
91-91 = 0
0=0

Answer 2

(w+6)(w+7)
= w^2+ 7w+ 6w+ 6*7
= w^2+ (7w+ 6w)+ 42 (combine like terms)
= w^2+ 13w+ 42

The final answer is w^2+ 13w+ 42~