Solve the following quadratic equations by factorization:
$16\mathrm{x}-\frac{10}{\mathrm{x}}=27$.

Solve the following quadratic equations by factorization:

$\mathrm{x}-\frac{1}{\mathrm{x}}=3, \mathrm{x}\ne 0$.

Solve the following quadratic equation by factorisation.

$\frac{1}{x-3}+\frac{2}{x-2}=\frac{8}{x}; x\ne 0, 2, 3$

Solve the following quadratic equation by factorization:

${\mathrm{a}}^2{\mathrm{x}}^2-3\mathrm{abx}+2{\mathrm{b}}^2=0$.

Solve the following quadratic equations by factorization:

$9{\mathrm{x}}^2-6{\mathrm{b}}^2\mathrm{x}-\left({\mathrm{a}}^4-{\mathrm{b}}^4\right)=0$.

Solve the following quadratic equations by factorization:

$4{\mathrm{x}}^2+4\mathrm{bx}-\left({\mathrm{a}}^2-{\mathrm{b}}^2\right)=0$.