Final answer to the problem
Step-by-step Solution
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Use the complete the square method to factor the trinomial of the form $ax^2+bx+c$. Take common factor $a$ ($6$) to all terms
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$6\left(x^2+\frac{1}{2}x-\frac{1}{3}\right)$
Learn how to solve factorization problems step by step online. Factor the expression 6x^2+3x+-2. Use the complete the square method to factor the trinomial of the form ax^2+bx+c. Take common factor a (6) to all terms. Add and subtract \displaystyle\left(\frac{b}{2a}\right)^2. Factor the perfect square trinomial x^2+\frac{1}{2}xx+\frac{1}{16}. Subtract the values -\frac{1}{3} and -\frac{1}{16}.