Question 1088341

Please help me solve this question (6/7x-21)-(1/x^2-6x+9)+(1/x^2-9)=0
<pre>If it's: {{{6/(7x - 21) - 1/(x^2 - 6x + 9) + 1/(x^2 - 9) = 0}}}, then read on!
{{{6/7(x - 3) - 1/(x - 3)^2 + 1/(x - 3)(x + 3) = 0}}} ------- Factoring DENOMINATORS from left to right
6(x + 3)(x - 3) - 1[7(x + 3)] + 1[7(x - 3) = 0 ------- Multiplying entire equation by LCD, {{{7(x + 3)(x - 3)^2}}}
{{{6(x^2 - 9) - 7x - 21 + 7x - 21 = 0}}}
{{{6x^2 - 54 - 7x - 21 + 7x - 21 = 0}}}
{{{6x^2 - 96 = 0}}}
{{{6(x^2 - 16) = 6(0)}}}
{{{x^2 - 16 = 0}}}
{{{highlight_green(matrix(2,3, x, "=", - 4, x, "=", 4))}}}