The equation is .
Write two cases:
\Case-1:
Case-2:
Solve the equation for Case-1.
\Apply addition property of equality: Add 36 to each side.
\ (Apply Additive inverse property:
)
(Apply Additive identity property:
)
(Add:
)
Apply division property of equality: Divide each side by 2.
\ (Cancel common terms)
(Divide:
)
Check:
\To check the solution, substitute in original equation.
(Multiply:
)
(Subtract:
)
(The absolute value of 14 is 14)
Compare the values the equation is true. is a solution.
Solve the equation for Case-2.
\Apply addition property of equality: Add 36 to each side.
\ (Apply Additive inverse property:
)
(Apply Additive identity property:
)
(Add:
)
Apply division property of equality: Divide each side by 2.
\ (Cancel common terms)
(Divide:
)
Check:
\To check the solution, substitute in original equation.
(Multiply:
)
(Subtract:
)
(The absolute value of -14 is 14))
Compare the values the equation is true. is a solution.
The solution set is {25, 11}.