How on EARTH do you get this equation to the point where it can be foiled

2sinsquaredx -5sinx -3

(I didn't know how to make the squared so I just wrote it out)

I know how to foil things, but I just can't figure out how to get this to the point where it can go in those parenthesis...

(And I'm sorry if this question makes no sense. I don't really know how else to ask it.)

The equation is fine. Pretend that sin isn't really there and pretend it's 2x^2 - 5x - 3. Foil that to get (2x+1)(x-3).

Now, just put the sin back in anywhere there is an x and your final factored form is (2sinx+1)(sinx-3)

Hope that helps.

You are right--it doesn't make sense. An equation has an equal sign somewhere in it and that is lacking. Therefore all you have is an expression.

Assuming that all that is missing is "= 0" then it becomes a quadratic that can be solved by applying the quadratic formula.

(2sinx + 1)(sinx - 3) = 0

sinx = -1/2
sinx = 3