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 $a$ ($4$) to all terms
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$4\left(x^2+x+\frac{65}{4}\right)=0$
Learn how to solve quadratic equations problems step by step online. Solve the quadratic equation 4x^2+4x+65=0. Use the complete the square method to factor the trinomial of the form ax^2+bx+c. Take common factor a (4) to all terms. Add and subtract \displaystyle\left(\frac{b}{2a}\right)^2. Factor the perfect square trinomial x^2+xx+\frac{1}{4}. Subtract the values \frac{65}{4} and -\frac{1}{4}.