Answer:
x = 5/2 or 2.5
Step-by-step explanation:
(x + 7)(x-1) = [tex]x^{2}[/tex] + 8
x*x - 1*x + 7x - 1*7 = [tex]x^{2}[/tex] + 8
[tex]x^{2}[/tex] - x + 7x -7 = [tex]x^{2}[/tex] + 8
[tex]x^{2}[/tex] + 6x - 7 = [tex]x^{2}[/tex] + 8 Subtract x² from each side
[tex]x^{2}[/tex] - [tex]x^{2}[/tex] + 6x - 7 = [tex]x^{2}[/tex] - [tex]x^{2}[/tex] + 8
6x - 7 = 8 Add 7 to each side
6x - 7 + 7 = 8 + 7
6x = 8 + 7
6x = 15 Divide each side by 6
6x/6 = 15/6
x = 15/6 Common factor of 3 so you can reduce to:
x = 5/2 or 2.5
