Verify whether the given values of $x$ are the roots of the equation or not?

$x^2+x+1=0$ ; $x=0, x=1$

Solve the following equation

$x^2-11x=0$

Solve the following equation.

${\left(x-1\right)}^2=0$

Solve the following equation:

${\left(x+3\right)}^2=0$

Solve the following equation:

$\left(x-2\right)\left(x+3\right)=0$

Solve the following equation:

$x\left(x-1\right)=0$

Verify whether values are roots of equation or not.

$2x^2+x-6=0; x=2, x=-\frac{3}{2}$

Verify whether values are roots of equation or not.

$x^2-4x+4=0; x=2, x=-3$

Verify whether values are roots of equation or not.

$6x^2-6x-12=0; x=-3, x=4$