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18 votes
Find all solutions to the equation.

7sin2x - 14 sin x + 2 = -5

User Ashish K
by
5.5k points

1 Answer

9 votes

Answer:

Step-by-step explanation:First, group and combine like terms:

x

3

+

2

x

2

+

7

x

2

+

14

x

x

3

=

(

2

+

7

)

x

2

+

14

x

x

3

+

9

x

2

+

14

x

Next, factor out an

x

from each term in the expression:

(

x

x

2

)

+

(

x

9

x

)

+

(

x

14

)

x

(

x

2

+

9

x

+

14

)

Because

7

+

2

=

9

and

7

2

=

14

we can factor the quadratic term as:

x

(

x

+

7

)

(

x

+

2

)

User Nikkie
by
4.9k points