Penjelasan dengan langkah-langkah:

1.

(-3x + 4)(x - 2) = 0

-3x + 4 = 0

3x = 4

x = 4/3 atau

x - 2 = 0

x = 2

HP = {x | x = (4/3, 2)}

dengan memfaktorkan :

2.

x² + 8x = 0

x(x + 8) = 0

x = 0 atau

x + 8 = 0

x = - 8

HP = {x | x = (-8, 0)}

3.

x² - 16x + 15 = 0

(x - 1)(x - 15) = 0

x - 1 = 0

x = 1 atau

x - 15 = 0

x = 15

HP = {x | x = {1 , 15)}

dengan melengkapi kuadrat

x² - 4x = 21

(x - 2)² - 2² = 21

(x - 2)² - 4 = 21

(x - 2)² = 21 + 4

(x - 2)² = 25

x - 2 = √25

x - 2 = ± 5

x = 2 ± 5

x₁ = 2 + 5 = 7

x₂ = 2 - 5 = -3

HP = {x | x = {-3 , 7)}

dengan rumus abc

5.

x² + 8x - 20 = 0

a = 1, b = 8, c = -20

x₁,₂ = [-b ± √(b² - 4ac)]/2a

x₁,₂ = [-8 ± √(8² - 4(1)(-20)]/2(1)

x₁,₂ = [-8 ± √(64 + 80]/2

x₁,₂ = [-8 ± √(144)]/2

x₁,₂ = (-8 ± 12)/2

x₁,₂ = -4 ± 6

x₁ = -4 + 6 = 2

x₂ = -4 - 6 = -10

HP = {x | x = {-10 , 2)}