Answer:
x = 4 ; x = 8
Step-by-step explanation:
[tex]x^2 + 32 = 12x[/tex]
bring all the terms to one side and set equal to 0
[tex]x^2 - 12x + 32 = 0[/tex]
factor the polynomial
[tex](x-8)(x-4) = 0[/tex]
set each factor equal to zero and solve
[tex](x-8) = 0 \\x - 8 = 0 \\x = 8[/tex]
[tex](x-4)=0\\x-4 = 0\\x = 4[/tex]
