4x^2 - 19x - 5 = 0

how do you solve quadratic equations through factoring? I put an example from my classwork above

Step-by-step explanation:

4x² - 19x - 5 = 0

multiply coefficient of x² and the constant.

here coefficient of x² = 4 and constant = - 5

4*-5 = - 20

Coefficient of x = - 19

so, when you multiply you have to get (-20) and when you subtract you should get - 19

(-20) * 1 = - 20

-20 + 1 = - 19

4x² - 19x - 5 = 0

4x² - 20x + x - 1*5 = 0

4x (x - 5) + (x - 5) = 0

(x - 5) (4x + 1) = 0