- #1

- 297

- 6

## Homework Statement

Solve for x. x^2 - 2x = 0

## Homework Equations

n/a

## The Attempt at a Solution

If I solve this equation by factoring out the x first, as in x(x-2) = 0, I get that x = 2 or x =0

However, if I add 2x, as in x^2 = 2x, then I divide by x, leaving x = 2

My second method only has one answer. What happened to x = 0?

When I solve equations like this, what should I do to guarantee that I get all of the solutions without using a graphing calculator?

Thank you