a^2 - b^2 = (a - b)(a + b)
4x^2 - (x + 1)^2 = 0
(2x)^2 - (x + 1)^2 = 0
(2x - x - 1)(2x + x + 1) = 0
(x - 1)(3x + 1) = 0
x=1
x=-1/3
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Verified answer
a^2 - b^2 = (a - b)(a + b)
4x^2 - (x + 1)^2 = 0
(2x)^2 - (x + 1)^2 = 0
(2x - x - 1)(2x + x + 1) = 0
(x - 1)(3x + 1) = 0
x=1
x=-1/3