Answer:
Step-by-step explanation:
1. x (x - 5) = 0
x^2 - 5x = 0
2. x (x + 2) = 15
x^2 + 2x = 15
x^2 + 2x - 15 = 15 - 15
x^2 + 2x - 15 = 0
(x - 2) (x + 3)
3. (x + 9)^2 = 15
(x + 9) (x + 9) = 15
x^2 + 9x + 9x + 81 = 15
x^2 + 18x + 81 = 15
x^2 + 18x + 81 - 15 = 15 - 15
x^2 + 18x + 66 = 0
4. (x + 6)^2 = 4
(x + 6) (x + 6) = 4
x^2 + 6x + 6x + 36 = 4
x^2 + 12x + 36 = 4
x^2 + 12x + 36 - 4 = 4 - 4
x^2 + 12x + 32 = 0
5. (x + 5)^2 + (x - 2)^2 = 36
(x + 5) (x + 5) + (x - 2) (x - 2) = 36
x^2 + 5x + 5x + 25 + x^2 - 2x - 2x + 4 = 36
x^2 + 10x + 25 + x^2 - 4x + 4 = 36
2x^2 + 6x + 29 = 36
2x^2 + 6x + 29 - 36 = 36 - 36
2x^2 + 6x - 7 = 0
