Answer: [tex]x=19/20[/tex] [tex]or[/tex] [tex]x=29/20[/tex]
Simplify both sides of the equation
[tex]400x^2-960x+593=42[/tex]
Subtract 42 from both sides
[tex]400x^2-960x+593-42=42-42\\400x^2-960x+551=0[/tex]
Factor left side of equation
[tex](20x-19)(20x-29)=0[/tex]
Set factors equal to 0
[tex]20x-19=0[/tex] [tex]or[/tex] [tex]20x-29=0[/tex]
[tex]x=19/20[/tex] [tex]or[/tex] [tex]x=29/20[/tex]
