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 $a$ ($5$) to all terms
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$5\left(x^2+\frac{16}{5}x+\frac{42}{5}\right)=0$
Learn how to solve problems step by step online. Solve the quadratic equation 5x^2+16x+42=0. 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{16}{5}xx+\frac{64}{25}. Subtract the values \frac{42}{5} and -\frac{64}{25}.