Step 1: Set the equation equal to 0.
Do this by subtracting 6x from both sides and you get:
x^2 - 4 = 0
Step 2: Factor
This is a difference of two square. In general a^2 - b^2 factors as (a+b)(a-b).
In your equation:
(x+2)(x-2) = 0
Step 3: Break this apart into two separate equations.
If two factors multiply to make 0, one of them has to be zero. So set each one individually equal to 0.
x+2 = 0 OR x-2=0
Step 4: Solve each equation individually.
x+2 = 0
x = -2
x-2 = 0
x = 2
Step 5:
Check both solutions to make sure they’re correct.
