Use the zero product property to solve the equation. (4k+5) (k+7) = 0

The zero product property tells us that if we have

xy=0, then we can assume that x and y both equal 0

so

(4k+5) (k+7) = 0

we can assume that 4k+5=0 and k+7=0

so

4k+5=0

minus 5 both sides

4k=-5

divide both sides by 4

k=-5/4

k+7=0

minus 7 both sides

k=-7

k=-5/4 or - 7