F(-x)=-3x^2-2x+17

Solution for F(-x)=-3x^2-2x+17 equation:

(-F)=-3F^2-2F+17

We move all terms to the left:

(-F)-(-3F^2-2F+17)=0

We add all the numbers together, and all the variables

-(-3F^2-2F+17)+(-1F)=0

We get rid of parentheses

3F^2+2F-1F-17=0

We add all the numbers together, and all the variables

3F^2+F-17=0

a = 3; b = 1; c = -17;
Δ = b2-4ac
Δ = 12-4·3·(-17)
Δ = 205
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$F_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$F_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$F_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(1)-\sqrt{205}}{2*3}=\frac{-1-\sqrt{205}}{6}
$
$F_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(1)+\sqrt{205}}{2*3}=\frac{-1+\sqrt{205}}{6}
$