(x^2+2x)^2-5(x+1)^2=145

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Expanding both sides of the equation:

(x^2 + 2x)(x^2 + 2x) - 5(x + 1)(x + 1) = 145
(x^4 + 2x^3 + 2x^3 + 4x^2) - 5(x^2 + 2x + x + 1) = 145
(x^4 + 4x^3 + 4x^2) - 5(x^2 + 3x + 1) = 145
x^4 + 4x^3 + 4x^2 - 5x^2 - 15x - 5 = 145
x^4 + 4x^3 - x^2 - 15x - 5 - 145 = 0
x^4 + 4x^3 - x^2 - 15x - 150 = 0

This is the simplified equation after expanding both sides.