Question

How many solutions does the following equation have, and what are the signs of the solutions? 5x^2-9x=2

Answer 1

$5x^2-9x=2\\ 5x^2-9x-2=0\\ 5x^2+x-10x-2=0\\ x(5x+1)-2(5x+1)=0\\(x-2)(5x+1)=0\\ x=2 \vee x=-\dfrac{1}{5}$