Algebra
# Polynomial Factoring

Find the sum of all real solutions of the equation $x^3+x^2 + x=8x^2+8 x + 8.$

The polynomial in two variables

$f(x,y) = xy + 3y - 4x -12$

can be expressed as the product of two linear factors with integer coefficients, namely

$f(x,y) = (ax + by + c) ( dx + ey + f).$

Evaluate $|a+b+c| + |d+e+f|$.