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) = 145x^4 + 4x^3 + 4x^2 - 5x^2 - 15x - 5 = 145x^4 + 4x^3 - x^2 - 15x - 5 - 145 = 0x^4 + 4x^3 - x^2 - 15x - 150 = 0
This is the simplified equation after expanding both sides.
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.