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Start with the given equation
Take half of the x coefficient 12 to get 6 (ie
Now square 6 to get 36 (ie
Add this result (36) to both sides. Now the expression
is a perfect square trinomial.
(note: if you need help with factoring, check out this solver
Combine like terms on the right side
Take the square root of both sides
Subtract 6 from both sides to isolate x.
So the expression breaks down to
So our answer is approximately
Here is visual proof
When we use the root finder feature on a calculator, we would find that the x-intercepts are
, so this verifies our answer.