The equation is .
Subtract 25 from each side.
\ (Rewrite
)
Apply difference of squares formula: .
Apply zero product property: If then
.
First term is .
Apply addition property of equality: If a = b then a + c = b + c.
\Add 5 to each side.
\Apply additive inverse property: .
Divide each side by 2.
\Check:
\To check the first solution substitute in
.
\
\
Then the first solution is "true".
Second term is .
Apply subtraction property of equality: If a = b then a c = b
c.
Subtract 5 from each side.
\Apply additive inverse property: .
Divide each side by 2.
\Check:
\To check the first solution substitute in
.
Then the first solution is "true".
The solution are and
.