Solve each equation by factoring

x^2-11x+19=-5

X² - 11x + 19 = - 5

Convert to standard form: one side must be 0.

x² - 11x + 19 + 5 = 0

x² - 11x + 24 = 0

Factor of x² is x * x

Factor of 24:

*note that the 2 numbers must be equal to 24 and must add up to - 11

* - 8 x - 3 = + 24

* - 8 + - 3 = - 11

x² - 11x + 24 = 0

(x - 8) (x - 3) = 0

x - 8 = 0

x = 8

*to check: x² - 11x + 24 = 0

8² - 11 (8) + 24 = 0

64 - 88 + 24 = 0

88 - 88 = 0

0 = 0

x - 3 = 0

x = 3

to check: x² - 11x + 24 = 0

3² - 11 (3) + 24 = 0

9 - 33 + 24 = 0

33 - 33 = 0

0 = 0