x^2 - 2x - 48 = 0
(x - 8)(x + 6) = 0
x = 8, -6
.
4x + 4y = 0
4x + y = -24
multiply the bottom equation by -1 on both sides
4x + 4y = 0
-4x - y = 24
add the equations together
0x + 3y = 24
3y = 24
y = 8
4x + y = -24
4x + 8 = -24
4x = -32
x = -8
Answer: x = -8, y = 8
.
x^2 -7x + 0 = 0
x^2 - 7x = 0
x(x - 7) = 0
x = 0, 7