indiandude

In every single equation, a is the slope when you take the slope of (x, y_1), which is the vertex, and (x+1, y_2) (underscore means y number 1 or y number 2). Since the vertex (x, y)=(4,0), and the slope between (4,0) and (4+1,7) is 7, a is 7

sorry if it isn't clear I'm not good at explaining things :(

\((3x+2)(x+4)=\frac{4x^2+8x+8x^2}{2x}\)
simplify

\(3x^2+24x+48=2x+4+4x\)

simplify

\(3x^2+24x+48=6x+4\)
subtract 6x+4

\(3x^2+18x+44=0\)
quadratic formula

\(\frac{-18 \pm \sqrt{18^2-4(3)(44)}}{2(3)}\)

After simplifying the quadratic formula, we get

\(-3\pm\frac{i\sqrt{194}}{6}\)
so that's our answer :)