Solve the equation. $3 ( z - 9 ) - z ( z - 9 ) = 0$
A) { 3, $-$ 9 }
B) { $-$ 3, $-$ 9 }
C) { 3, 9 }
D) { $-$ 3, 9 }

Question

Quizplus · Accepted Answer

First, distribute the 3 to get 
$$3z-27-z^2+9z=0$$ 
Simplifying and rearranging 
$$-z^2+12z-27=0$$ 
This is a quadratic equation that can be factored as 
$$(z-3)(-z+9)=0$$
So the solutions are $z=3$ and $z=9$. Since the question asks for the solution set, the answer is {3, 9}.

Solve the Equation 3(z−9)−z(z−9)=03 ( z - 9 ) - z ( z - 9 ) = 03(z−9)−z(z−9)=0

Solve the Equation $3 ( z - 9 ) - z ( z - 9 ) = 0$