Which would be the most appropriate method to solve the following equation?
$(z-4{)}^2=49$

Find the solution(s) using the quadratic formula.

$\frac{3}{2}{(x+5)}^2-4=x+1$

Determine the number and type of solutions of the given quadratic equation. Do not solve.

$x^2+8x+16=0$

Determine the number and type of solutions of the given quadratic equation. Do not solve.

$-4x^2+4x+5=0$

Which would be the most appropriate method to solve the following equation?

$x^2-7x+10=0$

Determine the most appropriate method and solve the following equation.

$2x^2-3x-5=0$

Determine the most appropriate method and solve the following equation.

$x^2+6x+5=0$

Find the solution(s) using the quadratic formula.

$x^2+6x-7=0$

Find the solution(s) using the quadratic formula.

$\frac{3}{2}{z}^2-\frac{5}{4}z-1=0$