who to solve this equation? with what solutions :(

Question

(x-3) (x² + 4x - 21) =0 

 

HELP PLEASE

 with work please :)

Answer 1

This is the zero product property. Either x-3 = 0 or x² +4x -21 = 0. So solve each of the two equations, factoring the second term. 

 

x-3 = 0

x = 3

 

x² +4x -21 = 0

x² - 3x + 7x -21 = 0

x(x - 3) + 7(x-3) = 0

(x-3)(x+7) = 0 

Using the zero product property, x = 3 or x = -7