Perhaps the most concise way to factor is by "completing the square" which is how the quadratic formula is derived...
x^2+6x+8=0 move constant to other side, subtract 8 from both sides
x^2+6x=-8, halve the linear coefficient, square it, then add that to both sides, in this case (6/2)^2=3^2=9
x^2+6x+9=1 now the left side is a perfect square of the form
(x+3)^2=1 take the square root of both sides
x+3=±√1 subtract 3 from both sides
x=-3±√1
x=-3±1
x=-4 and -2
Since the zeros occur when x=-4 and -2 the factors of the equation are:
(x+2)(x+4)
Answer:50
Step-by-step explanation: simplify
9 packets.
36 divided by 3 = 12
49 divided by 5 = 9.8
76 divided by 7 = 10.8
Maximum packets that can be obtained is 9 packets because only 9 packets with 5 green beads each can be packaged.
5x-2+3x=17+12x-23 combine like terms
8x-2=12x-6
-8x -8x
-2=4x-6
+6 +6
4=4x divide each side by 4
x=1
