Question 110887

{{{3x^2 - 6x = 0}}}.........notice that {{{3x}}} is common for both terms, factor it out

{{{3x(x - 2) = 0}}}.......here we have product of an monomial and binomial equal to {{{0}}}

the product of an monomial and binomial will be equal to {{{0}}} if either one of them or both of them are equal to {{{0}}}

so, we will have

if {{{3x = 0}}}....=> ...{{{x+0}}}
or, if {{{x - 2 = 0}}}....=>...{{{x = 2}}}

So one answer is {{{x=0}}} and another answer is {{{x=2}}}