What is 6xsquared plus 37x plus 6 equals 0 factored?

Answer 1

This equation can't actually be factored, but you can solve for x:

6x2 + 37x + 6 = 0

∴ 6x2 + 37x = -6

∴ x2 + (37/6)x = -1

∴ x2 + (37/6)x + (37/12)2 = -1 - (37/12)2

∴ (x + 37/12)2 = -1 - (37/12)2

∴ x + 37/12 = ±[-1 - (37/12)2]1/2

∴ x = 37/12 ±[-1 - (37/12)2]1/2

Which gives you two complex numbers for the answer, approximately:

37 / 12 + 3.2414417 × i

37 / 12 - 3.2414417 × i