- #1

Cheesycheese213

- 55

- 8

## Homework Statement

Solve the modular equation

*x*+ 8

^{2}*x*≡ 0 (mod 56)

## Homework Equations

Let

*a, b*= integer

*n*|(

*a - b*), written as

*a*≡

*b*(mod

*n*)

## The Attempt at a Solution

I tried to separate them, and got

2|

*x*+ 8

^{2}*x*or

*8*

*x*+^{2}*≡ 0 (mod 2) as well as*

*x*7|

*x*8

^{2}*+**x*or

*8*

*x*+^{2}*≡ 0 (mod 7)*

*x*but I'm a bit stuck now, and I'm pretty sure they might be wrong?

How should I be solving this? Thanks!