Question 1154246

1.    

{{{x^2 - 49 = 0}}}

{{{x^2 - 7^2 = 0}}}

{{{(x - 7)(x+7) = 0}}}

solutions: {{{x=7}}}, {{{x=-7}}}


2. 
   
{{{3x^3 - 12x = 0}}}

{{{3x(x^2 - 4) = 0}}}

{{{3x(x^2 - 2^2) = 0}}}

{{{3x(x - 2)(x+2) = 0}}}

solutions: {{{x=0}}}, {{{x=2}}},{{{x=-2}}}


3.    

{{{12x^2 + 14x + 12 = 18}}}

{{{12x^2 + 14x + 12 - 18=0}}}

{{{12x^2 + 14x - 6=0}}}

{{{2(6x^2 + 7x - 3)=0}}}

{{{2(6x^2-2x + 9x - 3)=0}}}

{{{2((6x^2-2x) + (9x - 3))=0}}}

{{{2(2x(3x-1) + 3(3x - 1))=0}}}

{{{2(2x + 3)(3x - 1) = 0}}}


solutions: {{{x=-3/2}}}, {{{x=1/3}}}


4.   
{{{ - x^3 + 22x^2 - 121x = 0}}}

{{{ -x( x^2 - 22x + 121) = 0}}}

{{{ -x(x - 11)^2 = 0}}}

{{{ -x(x - 11)(x+11) = 0}}}

solutions: {{{x=11}}}, {{{x=-11}}}


5.  

{{{  x^2 - 4x = 5}}}

{{{  x^2 - 4x -5=0}}}

{{{  x^2+x - 5x -5=0}}}

{{{ ( x^2+x) - (5x +5)=0}}}

{{{ x( x+1) - 5(x +1)=0}}}

{{{ ( x - 5)(x +1)=0}}}

solutions: {{{x=5}}}, {{{x=-1}}}