soal matematika tolong bantu jawab ya

1/2. 4^(x+1) - 5.2^x + 2 = 0
1/2.4^x.4^1 - 5.2^x + 2 = 0
1/2.4.(2^x)^2 -5.2^x + 2 = 0
2.(2^x)^2 -5.2^x + 2 = 0.
misal 2^x = a, maka
2a^2 -5a + 2 = 0
(2a - 1) (a - 1) = 0
2a -1 = 0 atau a - 1 = 0
a = 1/2 atau a = 1
untuk a = 1/2 maka
2^x = 1/2
2^x = 2^-1
x = -1
untuk a = 1, maka
2^x = 1
2^x = 2^0
x = 0
Jadi HP = { -1, 0 }