Hi there! We are given the equation w² + 7w + 12 = 0, and we are told to solve it. Well, we can first take all the factors of 12 - 1 12 2 6 3 4 Now, take the sum of each factor pair - 1, 12 = 13 2, 6 = 8 3, 4 = 7 Find which factor pair adds up to 7, and we can see that 3 and 4 add up to seven, while also having a product of 12. Therefore, since the whole equation has addition signs, we can factor the equation w² + 7w + 12 into (w + 3)(w + 4) = 0. Next, using the Zero Product Property, we can set each term to zero. w + 3 = 0 w = -3
w + 4 = 0 w = -4 Therefore, the solution to the equation w² + 7w + 12 = 0 is w = -3, -4. Hope this helped and have a great day!
4h+3=The Pay of Shea
3.5h +6= The pay of Kelly
4h+3=3.5h+6
-3 -3
4h=3.5h+3
-3.5h
.5h=3
*2 *2
h=?
Then stick "h" into one of the original equations and solve for someones pay to get "p"
3.5(h)+6=p OR 4(h)+3 =p