Find the values of x: x^2 + 14x + 22 = 4x -2

x² + 14x + 22 = 4x -2
1) First you should arrange the equation into the format ax² + bc + c = 0. This gives x² + 10x + 24 =02) Factorise into (x+n)(x+m) = 0. To work out what n and m are, you must figure out what numbers work for n+m = b (in this case b =10) and n * m = c (in this case c = 24)3) the numbers that work are 6 and 4 so put these into the equation: (x + 4)(x+6) =04) one bracket must equal zero so x+4=0 or x+6=0 therefore x = -4 or x=-6