For what value of k, is the solution of the equation

kx² – x – 2 = 0.

Show that x = — 3 is a solution of 2x² + 5x –3 = 0.

Show that x = — 2 is a solution of 3x² + 13x + 14 = 0.

For what value of k, is a solution of the equation 3x² + 2kx — 3 = 0

For what values of a and b, and x = — 2 are solutions of the equation ax² + bx — 6 = 0.