By using the quadratic equation formula:
(4x+1)(x-3) = 0
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4x2 - 2x = 0
4x2+50x = 0 4x(x+12.5) = 0 x = 0 or x = -12.5
4x2-2x = 0 2x(2x-1) = 0 x = 0 or x =1/2
x2 + 11x + 30 = 0 (x + 5)(x + 6) = 0 so the roots are -5 and -6
The first equality is: x2 - 5 = -4x2 which gives 5x2 - 5 = 0 which is equivalent to x2 - 5 = 0 The second equality is: -4x2 = 3x which gives 4x2 + 3x = 0 The two results are inconsistent.