Question

Find the solutions

x^2+4x+4=9

Answer 1

x^2 + 4x -5 = 0
(x+5)(x-1) = 0
x = 1 and x = -5

Answer 2

x^2 + 4x + 4 = 9

4 + 4x + x2 = 9
4 + 4x + x2 = 9
-9 =-9
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-5 + 4x + x2 = 9 + -9
-5 + 4x + x2 = 0
(-5 + -1x)(1 + -1x) = 0

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-5 + -1x = 0
-5 + 5 + -1x = 0 + 5

0 + -1x = 0 + 5
-1x = 0 + 5

-1x = 5
Divide by -1
x = -5

1 + -1x = 0
1 + -1 + -1x = 0 + -1

0 + -1x = 0 + -1
-1x = 0 + -1

-1x = -1
Divide each side by -1

x = 1
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Solution
x = {-5, 1}