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Given, equation is:
2x2 + 5x + 3 = 0
=> 2x2 + 2x + 3x + 3 = 0
=> 2x(x + 1) + 3(x + 1) = 0
=> (x + 1)*(2x + 3) = 0
=> x + 1 = 0 and 2x + 3 = 0
=> x = -1, -3/2
So, x = -3 is not a solution of the equation 2x2 + 5x + 3 = 0