Sure! Let's solve the equation \( x^2 - 100 = 0 \) step by step, following the format you've provided.
Solve for all real values of x
\[ x^2 - 100 = 0 \] \[ +100 \quad +100 \] \[ x^2 = 100 \] \[ \sqrt{x^2} = \pm \sqrt{100} \] \[ x = \pm 10 \]
Solutions: \( x = 10, ; x = -10 \)