Solve each equation

Question

2x(x-5)=4(x-5)

Answer 1

2x(x - 5) = 4(x - 5)           distribute

2x² - 10x = 4x - 20           set equal to zero

2x² - 14x + 20 = 0            divide by 2

x² - 7x + 10 = 0               FOIL

(x - 2)(x - 5) = 0              zero product rule

 

x - 2 = 0

x = 2

 

x - 5 = 0

x = 5

 

{2, 5}