(1) Subtract 49 from both sides.
\[
x^{2}=-49
\]
(2) Take the square root of both sides.
\[
x=\pm \sqrt{-49}
\]
(3) Simplify \(\sqrt{-49}\) to \(\sqrt{49}\).
\[
x=\pm \sqrt{49} \imath
\]
(4) Since \(7 \times 7=49\), the square root of 49 is 7 .
\[
x=\pm 7 \imath
\]