Final Answer
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 $a$ ($13$) to all terms
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$13\left(q^2+\frac{24}{13}q-\frac{304}{13}\right)=0$
Learn how to solve quadratic equations problems step by step online. Solve the quadratic equation 13q^2+24q+-304=0. Use the complete the square method to factor the trinomial of the form ax^2+bx+c. Take common factor a (13) to all terms. Add and subtract \displaystyle\left(\frac{b}{2a}\right)^2. Factor the perfect square trinomial q^2+\frac{24}{13}qq+0.852071. Subtract the values -\frac{304}{13} and -0.852071.