The equation is .
Divide each side by 3.
\Case:1 a = b.
\Multiply each side by 3.
\Apply distributive property: a( b + c) = ab + ac.
\Subtract 3a from each side.
\Subtract 21 from each side.
\Divide each side by 3.
\Case:2 a = b.
Multiply each side by 3.
\Apply distributive property: a( b + c) = ab + ac.
\Add 3a to each side.
\Subtract 21 from each side.
\Divide each side by 9.
\Check:
\To check the solution, substitute in original equation.
The absolute value of 1 is 1.
\The equality is true.
Check:
\To check the solution, substitute in original equation.
(The absolute value of
)
The equality is true.
The solution set is .