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 $a$ ($-5$) to all terms
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$\left(-5\left(x^2+\frac{3}{5}x+\frac{2}{5}\right)\right)^2$
Learn how to solve polynomial factorization problems step by step online. Factor by completing the square (-5x^2-3x+-2)^2. Use the complete the square method to factor the trinomial of the form ax^2+bx+c. Take common factor a (-5) to all terms. Add and subtract \displaystyle\left(\frac{b}{2a}\right)^2. Factor the perfect square trinomial x^2+\frac{3}{5}xx+\frac{9}{100}. Subtract the values \frac{2}{5} and -\frac{9}{100}.