Step-by-step explanation:
Step 1: Subtract 87 from both sides
[tex]2x^2 - 11 - 87 = 87 - 87[/tex]
[tex]2x^2 - 11 - 87 = 0[/tex]
Step 2: Factor
[tex]2x^2 - 11 - 87 = 0[/tex]
[tex]2(x + 7)(x - 7) = 0[/tex]
[tex]x + 7 = 0[/tex] and [tex]x - 7 = 0[/tex]
[tex]x = -7[/tex] and [tex]x = 7[/tex]
Answer: [tex]x = -7, 7[/tex]
