How do you solve #9x ( 7x - 5) = 0#?

1 Answer
ProfLayton
Apr 10, 2017

#x=0 or x=5/7#

Explanation:

Note that the equation #9x(7x-5)=0# is only true when
#9x = 0# OR #7x-5=0#, by the Null Factor Theorem
Thus by solving each one, it can seen that #x=0,5/7#

NOTE: The null factor theorem states that if #P_1(x)P_2(x)P_3(x).....P_n(x)=0#
, where #P_1(x), P_2(x)#.... are polynomials, then #P_1(x) or P_2(x) or P_3(x)...# etc = 0

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