Question

Solve( enter your answer as a comma separate list). a(a+14)=0

Answer 1

Zero Factor Theorem

Since this is a multiplication that results in zero, we can separate its two terms and set them equal to zero to solve

`\begin{gathered} a\mleft(a+14\mright)=0 \\ a=0\quad \mathrm{or}\quad \: a+14=0 \end{gathered}`

We solve a+14=0

`\begin{gathered} a+14=0 \\ a+14-14=0-14 \\ a=-14 \end{gathered}`

Therefore, the solutions to the second degree equation are:

`a=0,a=-14`