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Answer:

x= -5, 2

Step-by-step explanation:

set them equal to each other: [tex]x^{2}+5x-9=2x+1[/tex]

subtract 2x from both sides: [tex]x^{2} +3x-9=1[/tex]

subtract 1 from both sides to make it equal to zero: [tex]x^{2} +3x-10=0[/tex]

find which 2 factors of -10 equal 3: 5 and -2

plug it into: [tex](x +?)[/tex]:  [tex](x+5) (x -2)[/tex]

set both equations to zero: [tex]x +5=0[/tex]         [tex]x-2=0[/tex]

solve:  {x| x=-5, 2}