Write the following equations in the form $a{x}^2+bx+c=0,$ then write the values of $a, b, c$ for each equation.

$3m^2=2m^2-9$

Write the following equations in the form $a{x}^2+bx+c=0,$ then write the values of $a, b, c$ for each equation.

$p(3+6p)=-5$

Write the following equations in the form $a{x}^2+bx+c=0,$ then write the values of $a, b, c$ for equation.

$x^2-9=13$

Determine whether the values given against the quadratic equation are the roots of the equation.

$x^2+4x-5=0; x=1, -1$

Determine whether the values given against the quadratic equation are the roots of the equation.

$2m^2-5m=0; m=2, \frac{5}{2}$

Solve the following quadratic equations by factorisation.

$x^2-15x+54=0$

Solve the following quadratic equations by factorisation.

$x^2+x-20=0$