SOLUTION: Find all solutions to the equation. 7 sin^2x - 14 sin x + 2 = -5 Show all your work.

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Question 1086811: Find all solutions to the equation.
7 sin^2x - 14 sin x + 2 = -5
Show all your work.

Found 2 solutions by Fombitz, MathTherapy:
Answer by Fombitz(32388)   (Show Source): You can put this solution on YOUR website!
Use a substitution,

So,



Complete the square,





The positive solution yields no solutions since
So,


Remember there are two solutions.

Answer by MathTherapy(10552)   (Show Source): You can put this solution on YOUR website!
Find all solutions to the equation.
7 sin^2x - 14 sin x + 2 = -5
Show all your work. 
 

 -------- Adding 5 to both sides

 ---- Factoring out GCF, 7



(sin x - 1)(sin x - 1) = 0, or  -------- Factoring TRINOMIAL

Now, solve for sin x 

You continue and SHOW YOUR WORK!

IGNORE all other RIDICULOUS answers! 

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