Factor \({x}^{2}-10x+16\).
Ask: Which two numbers add up to \(-10\) and multiply to \(16\)?
Rewrite the expression using the above.
\[(x-8)(x-2)\]
\[(x-8)(x-2)({x}^{2}-4x-32)=0\]
Factor \({x}^{2}-4x-32\).
Ask: Which two numbers add up to \(-4\) and multiply to \(-32\)?
Rewrite the expression using the above.
\[(x-8)(x+4)\]
\[(x-8)(x-2)(x-8)(x+4)=0\]
Solve for \(x\).
Ask: When will \((x-8)(x-2)(x-8)(x+4)\) equal zero?
When \(x-8=0\), \(x-2=0\), \(x-8=0\), or \(x+4=0\)
Solve each of the 4 equations above.
\[x=8,2,-4\]
\[x=8,2,-4\]
x=8,2,-4
