FAST PL Find all real solutions to

x^2 + 4x + 4 = 100x^2 + 20x + 1.

If you find more than one, then list the values separated by commas.

1/9, (-3)/11

Step-by-step explanation:

Both the left and right side are perfect squares,

                                         (x + 2)^2 = (10x + 1)^2

In order for the squares to be equal, we must have the inner expressions equal to each other or negations of each other:

                                         (x + 2) = (10x + 1)

or

                                         x + 2 = -10x - 1

Simplifying the first equation gives 9x = 1 so 1/9 and simplifying the second equation gives 11x = -3, so (-3)/11

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