Answer:
If the absolute value expression is not equal to zero, the expression inside an absolute value can be either positive or negative. So, there can be at most two solutions. Looking at this graphically, an absolute value graph can intersect a horizontal line at most two times.
(2x-3)(x+5)
Use foil to simplify, First multiply together the first terms of the pairs, then the outer terms, the middle terms, and finally the last terms. Then combine like terms.
2x^2+10x-3x-15 equals 2x^2+7x-15
Move all terms not containing x to the right side of the equation
x=9
They are parallel because they have the same slope
9(2x-1)=3(x+2)+3x
18x-9=3x+6+3x
18x-9=6x+6
18x-6x=6+9
12x=15
x=15/12
x=5/4