4X2 + 16X + 7 = 0
I would use the quadratic equation, but the answer will not be pretty here.
X = - b (+/-) sqrt(b2 - 4ac)/2a
a = 4
b = 16
c = 7
X = - 16 (+/-) sqrt[162 - 4(4)(7)]/2(4)
X = - 16 (+/-) sqrt[256 - 112]/8
X = - 16 (+/-) sqrt(144)/8
X = [- 16 (+/-) 12]/8
==================( not too ugly! )
X = - 1/2
X = - 7/2
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