Move all terms to one side.
\[3{x}^{2}+12x+12-03=0\]
Simplify \(3{x}^{2}+12x+12-03\) to \(3{x}^{2}+12x+9\).
\[3{x}^{2}+12x+9=0\]
Factor out the common term \(3\).
\[3({x}^{2}+4x+3)=0\]
Factor \({x}^{2}+4x+3\).
Ask: Which two numbers add up to \(4\) and multiply to \(3\)?
Rewrite the expression using the above.
\[(x+1)(x+3)\]
\[3(x+1)(x+3)=0\]
Solve for \(x\).
Ask: When will \((x+1)(x+3)\) equal zero?
When \(x+1=0\) or \(x+3=0\)
Solve each of the 2 equations above.
\[x=-1,-3\]
\[x=-1,-3\]
x=-1,-3
