Certainly! Let's start by simplifying the given quadratic equation:
[tex]\[ 8x^2 - 48x = -104 \][/tex]
Our goal is to rewrite the equation so that [tex]\( a = 1 \)[/tex]. To do this, we need to divide the entire equation by 8.
First, divide each term in the equation by 8:
[tex]\[ \frac{8x^2}{8} - \frac{48x}{8} = \frac{-104}{8} \][/tex]
This simplifies to:
[tex]\[ x^2 - 6x = -13 \][/tex]
So, the equation with [tex]\( a = 1 \)[/tex] can be written as:
[tex]\[ x^2 - 6x = -13 \][/tex]
Hence, the expression filled in would be:
[tex]\[ x^2 - 6x = -13 \][/tex]
