The equation is
Write two cases:
\Case-1: .
Case-2:
\
Solve the equation for Case-1.
\
Addition property of equality: if , then
.
(Add 36 on both sides)
(Apply Additive inverse property:
)
(Apply Additive identity property:
)
(Add
)
(Divide both sides by 2)
(Cancel common factors)
(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.
\ (Add 36 on both sides)
(Apply Additive inverse property:
)
(Apply Additive identity property:
)
(Add:
)
(Divide both sides 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