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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$-6\left(x^2+\frac{1}{6}x-\frac{43}{6}\right)=0$
Learn how to solve quadratic equations problems step by step online. Solve the quadratic equation 43-6x^2-x=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{1}{6}xx+\frac{1}{144}. Subtract the values -\frac{43}{6} and -\frac{1}{144}.