Solve for \(x\) in \(\sqrt{x}=5\).
Substitute \(x=25\) into \({y}^{2}-119=10y\).
Solve for \(y\) in \({y}^{2}-119=10y\).
Solve for \(y\).
\[{y}^{2}-119=10y\]
Move all terms to one side.
\[{y}^{2}-119-10y=0\]
Factor \({y}^{2}-119-10y\).
Ask: Which two numbers add up to \(-10\) and multiply to \(-119\)?
Rewrite the expression using the above.
\[(y-17)(y+7)\]
\[(y-17)(y+7)=0\]
Solve for \(y\).
Ask: When will \((y-17)(y+7)\) equal zero?
When \(y-17=0\) or \(y+7=0\)
Solve each of the 2 equations above.
\[y=17,-7\]
\[y=17,-7\]
