Question 93837
{{{ax=bx}}}


{{{ax-bx=0}}} Subtract {{{bx}}} from both sides


{{{x(a-b)=0}}} Factor out x


{{{x=0/(a-b)}}} Divide both sides by {{{a-b}}}


{{{x=0}}} Divide both sides by {{{a-b}}}


Note: If we let x=0, we get {{{a(0)=b(0)}}} which becomes {{{0=0}}} and it will be true for any value of a and b




So that means if we evaluate {{{2x(a+b)}}} with x=0, we get


{{{2(0)(a+b)}}} Plug in x=0


{{{0(a+b)}}} Multiply


{{{a(0)+b(0)}}}Distribute


{{{0+0}}} Multiply


{{{0}}} Add


So {{{2x(a+b)=0}}}