Question 73159
If you're solving for x, isolate y
{{{y+x^2-2x= -1}}}Add 2x and subtract x^2 from both sides
{{{y=-x^2+2x-1}}}Now let y=0 and solve for x
{{{0=-x^2+2x-1}}}
{{{0=-(x^2-2x+1)}}}Factor out a -1
{{{0=-(x-1)(x-1))}}}Now factor the right side
{{{0=-(x-1)^2)}}}Rewrite the right side
{{{0=x-1}}}Take the square root of both sides
{{{x=1}}} is a solution
Hope that helps.