Quadratic formula

Question

x^2+6x+8-0 (solve by factoring)

(second Problem)
5w^2-3=0

Please show steps

Answer 1

x^2+6x+8 = 0
(x+2)(x+4) = 0
Since (x+a)(x+b) = x^2 + (a+b)x + ab
you are looking for factors of 8 that add up to 6.

5w^2-3 = 0
5w^2 = 3
w^2 = 3/5
w = ±√(3/5)