Question

Solve, using factoring: 8x2 = 16x
A. {0}
B. {-8, -16}
C. {0, 8}
D. {0, 2}

Answer 1

First bring the 16x to the same side as the 8x2

\[8x ^{2}-16x=0\]

Then factor
\[8x(x-2)=0\]

From here, you can use the zero-product property

8x=0 and x-2=0

Solving both equations for x, you are left with

x=0
x=2