Final Answer
Step-by-step Solution
Specify the solving method
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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$6\left(x^2+\frac{5}{2}x+\frac{5}{6}\right)=0$
Learn how to solve quadratic equations problems step by step online. Solve the quadratic equation 6x^2+15x+5=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}{2}xx+\frac{25}{16}. Subtract the values \frac{5}{6} and -\frac{25}{16}.