Factor by grouping. Step by step appreciated

(x^2+8) ( y+4)

Step-by-step explanation:

x^2y + 8y+ 4x^2 +32

Splitting into two groups

x^2y + 8y+      4x^2 +32

Factor y out of the first group  and 4 out of the second group

y( x^2+8)    + 4(x^2+8)

Factor out (x^2+8)

(x^2+8) ( y+4)

x ≥ 18 is your answer

step-by-step explanation:

let "a number" = x

(2/3)x + 17 ≥ 29

isolate the variable (x). do the opposite of pemdas (parenthesis, exponent (& root), multiplication, division, addition, subtraction).

first, subtract 17 from both sides.

(2/3)x + 17 (-17) ≥ 29 (-17)

(2/3)x ≥ 29 - 17

(2/3)x ≥ 12

next, multiply 3/2 to both sides to isolate the x

(3/2)(2/3)x ≥ 12(3/2)

x ≥ 12(3/2)

simplify. multiply, then divide

x ≥ (12 * 3)/2

x ≥ (36)/2

x ≥ 18

x ≥ 18 is your answer

~