The equation is .
Subtract 64 from each side.
\Apply difference of squares formula: .
Apply zero product property: If then
.
First term is .
Apply subtraction property of equality: If a = b then a c = b
c.
Subtract 8 from each side.
\\
Apply additive inverse property: .
Divide each side by 3.
\Check:
\To check the first solution substitute in
.
Then the first solution is "true".
Second term is .
Apply addition property of equality: If a = b then a + c = b + c.
\Add 8 to each side.
\Apply additive inverse property: .
Divide each side by 3.
\Check:
\To check the first solution substitute in
.
Then the first solution is "true".
The solution are and
.