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** 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

Learn how to solve logarithmic equations problems step by step online.

$6\left(x^2-\frac{5}{3}x-\frac{2}{3}\right)<0$

Learn how to solve logarithmic equations problems step by step online. Solve the inequality 6x^2-10x+-4<0. 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{5}{3}xx+\frac{25}{36}. Subtract the values -\frac{2}{3} and -\frac{25}{36}.

** Final answer to the problem

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