Solve x^2-16x+60=-12 by completing the steps. First, subtract boxed (-8)XLongrightarrow 60 from each side of the equation. COMPLETE Next, add -8 XLongrightarrow 64 to each side of the equation to complete the square. COMPLETE Now, write x^2-16x+64=-8 as|v (x-8)^2=-8v COMPLETE Take the square root of both sides to get the solutions square pm square sqrt (2)i

To solve the equation $x^{2}-16x+60=-12$ by completing the square, follow these steps:<br /><br />1. Subtract 60 from both sides of the equation:<br /> $x^{2}-16x+60-60=-12-60$<br /> $x^{2}-16x=-72$<br /><br />2. Add 64 to both sides of the equation to complete the square:<br /> $x^{2}-16x+64=-72+64$<br /> $(x-8)^{2}=-8$<br /><br />3. Take the square root of both sides to get the solutions:<br /> $x-8=\pm\sqrt{-8}$<br /> $x-8=\pm\sqrt{8}i$<br /> $x=8\pm\sqrt{8}i$<br /><br />Therefore, the solutions to the equation $x^{2}-16x+60=-12$ are $x=8+\sqrt{8}i$ and $x=8-\sqrt{8}i$.