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Answer:
Step-by-step explanation:
1. x (x + 4) = -3
x^2 + 4x = -3
x^2 + 4x + 3 = -3 + 3
x^2 + 4x + 3 = 0
(x + 3) (x - 1)
2. (x + 2)^2 + (x + 3)^2 = 1
(x + 2) (x + 2) + (x + 3) (x + 3) = 1
(x^2 + 2x + 2x + 4) + (x^2 + 3x + 3x + 9) = 1
x^2 + 4x + 4 + x^2 + 6x + 9 = 1
2x^2 + 10x + 13 = 1
2x^2 + 10x + 13 - 1 = 1 - 1
2x^2 + 10x + 12 = 0
(2x + 4) (x + 3)
3. 8/3x + x - 2/6 = 1
2 * 8/6x + x (x - 2)/6x = 1
2 * 8 + x (x -2)/6x = 1
16 + x^2 - 2x/ 6x = 1
x^2 - 2x + 16/6x = 1
6x (x^2 - 2x + 16/6x) = 1 * 6x
x^2 - 2x + 16 = 6x
x^2 - 2x + 16 - 6x = 6x - 6x
x^2 - 8x + 16 = 0
(x - 4)^2
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