To solve the quadratic equations:

k) x² + 8x + 12 = 0

We can factor this equation by finding two numbers that multiply to 12 and add up to 8. The numbers 6 and 2 satisfy this condition, so we can rewrite the equation as:

(x + 6)(x + 2) = 0

Setting each factor equal to zero, we have:

x + 6 = 0 or x + 2 = 0

Solving for x in each equation, we get:

x = -6 or x = -2

Therefore, the solutions to the equation x² + 8x + 12 = 0 are x = -6 and x = -2.

n) x² - 8x = 0

We can factor out an x from the equation to get:

x(x - 8) = 0

Setting each factor equal to zero, we have:

x = 0 or x - 8 = 0

Solving for x in each equation, we get:

x = 0 or x = 8

Therefore, the solutions to the equation x² - 8x = 0 are x = 0 and x = 8.