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6x3 + 4x2 = 2x

Subtract 2x from each side:

6x3 + 4x2 - 2x = 0

Divide each side by 2:

(Don't divide by 'x' ... you'll lose a root.)

3x3 + 2x2 -x = 0

Factor the left side:

x (3x2 + 2x - 1) = 0

x (3x - 1) (x + 1) = 0

x = 0

x = 1/3

x = -1

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