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How do you factor -2x ^ { 2} + 7x + 1= 0?

the answer is $\frac{- 7 - \sqrt{57}}{-} 4$ and $\frac{- 7 + \sqrt{57}}{-} 4$
keep in mind: quadratic formula: $\left(- b + \frac{\sqrt{{b}^{2} - 4 a c}}{2 a}\right)$for this, you have to use the quadratic formula
-7sqrt((7)^2-4(-2)(1) divide it all by $2 \left(- 2\right)$ which is $- 4$ now solve the equation in the sqrt which would give you $- 7 \sqrt{49 + 8}$ then you get $- 7 \sqrt{57}$ but you still have $- 4$ and since it's sqrt, you ave negative and positive. that's how you get your answe