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2X^3 + 11X^2 = 6X

2X^3 + 11X^2 - 6X = 0

factor out an X

X(2X^2 + 11X - 6) = 0

Now, for that quadratic equation I always go quadratic formula. Discriminant looks good for two real roots.

X = -b (+/- ) sqrt(b^2-4ac)/2a

a = 2

b = 11

c = - 6

X = - 11 (+/-) sqrt[11^2 - 4(2)(-6)]/2(2)

X = - 11 (+/-) sqrt(169)/4

X = [- 11 (+/-) 13]/4

X = 0

X = 1/2

X = - 6

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Q: What is 2x cubed plus 11x squared equals 6x?
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