Sin^2x-3sinxcosx+cos^2x=0

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We can simplify this equation by using the trigonometric identity sin^2(x) + cos^2(x) = 1.

Substituting this identity into the given equation, we get:

1 - 3sinxcosx = 0

Now, we can rearrange the terms to get:

3sinxcosx = 1

Dividing by 3 on both sides, we get:

sinx cosx = 1/3

This is the simplified form of the given equation.