Patricia is trying to solve the following equation by completing the square:

$$25x^2+20x-10 = 0.$$

She successfully rewrites the above equation in the following form:

$$(ax + b)^2 = c,$$

where a, b, and c are integers and $a > 0.$ What is the value of $a + b + c$?

ellapow Mar 9, 2021