## Algebra

This is the derivation of an equation we all know. The equation:

(1)

(2)

**STEP 1**, set the coefficient of the first term to one.

(3)

**STEP 2**, Subtract the third term from both sides:

(4)

**STEP 3**, Take one half of the middle term, square it and add to both sides of the equation:

(5)

The goal here is to get the left hand term to be a*perfect square trinomial.*

**STEP 4**. Factor the left hand side of the equation.

(6)

**Step 5**, Find the least common denominator for the right hand side:

(7)

**STEP 6**, Take the square root of both sides:

(8)

**Step 7**, Solve for x

(9)