Evaluate: p^2-100=0

Expression: ${p}^{2}-100=0$

Move the constant to the right-hand side and change its sign

${p}^{2}=100$

Take the square root of both sides of the equation and remember to use both positive and negative roots

$p=10$

Write the solutions, one with a $+$ sign and one with a $-$ sign

$\begin{array} { l }p=-10,\\p=10\end{array}$

The equation has $2$ solutions

$\begin{array} { l }p_1=-10,& p_2=10\end{array}$