Factoring Trinomials: Solving the equation

Resolve:

$3x^2+9x-162=0$

$6,-9$

Resolve:

$x(x^2-7x-8)=0$

$8,-1,0$

Solve the equation using the trinomial decomposition:

^{$x^2-8x+15=3\cdot(x-3)$}

$8,3$

Resolve:

^{$(x+1)(x-3)(x+7)(-7)=0$}

$-1,3,-7,7$

Solve the following equation:

$\sqrt{3x^2+10x-16}=\sqrt{2x^2+4x}$

$-8,2$

Solve the equation using trinomial decomposition.

$(x+6)=\frac{x^2+6}{x-4}$

15

$\sqrt{405^2+405^2\cdot406^2+406^2}-405^2=$

$406$