How do you use the quadratic formula to solve quadratic equations?

To use the quadratic formula, write in the a, b, and c values in the quadratic formula, from the given equation such as 2x2 + 3x – 2 = 0, in which a = 2, b = 3, and c = -2, so x = -b + or – square root b2– 4ac /2a becomes x = -(3) + or –square root 32– 4(2)(-2) /2(2) which means = -3 +/- |square root 9 +16|/ 4 and as 9+16=25 and the square root of 25 is 5 the equation = -3+/- 5/ 4. Which is then broken into two equations because of the +/- symbol: x = -3 + 5 / 4 and – 3 – 5 / 4 and as – 3 + 5 = 2, and – 3 – 5 = =8 the equations become 2/4 and -8/4 which simplify to ½ and -2 so x = ½ or x = -2