Question 471202

{{{a^2 - a = (a-2)^2 - (a-2)}}}


{{{a^2 - a = a^2 - 4a + 4 - a + 2}}}


{{{a^2 - a = a^2 - 5a + 6}}}


Subtract {{{a^2}}} from both sides:


{{{-a = -5a + 6}}}


Add {{{5a}}} to both sides:


{{{4a = 6}}}


Divide both sides by {{{4}}}:


{{{a = 3/2}}}