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 $a$ ($25$) to all terms
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$25\left(x^2+\frac{2}{25}x+\frac{1}{5}\right)=0$
Learn how to solve problems step by step online. Solve the quadratic equation 25x^2+2x+5=0. Use the complete the square method to factor the trinomial of the form ax^2+bx+c. Take common factor a (25) to all terms. Add and subtract \displaystyle\left(\frac{b}{2a}\right)^2. Factor the perfect square trinomial x^2+\frac{2}{25}xx+\frac{1}{625}. Subtract the values \frac{1}{5} and -\frac{1}{625}.