secx(2senx+1)-2(2senx+1)=0

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Solution for secx(2senx+1)-2(2senx+1)=0 equation: 


Simplifying
secx(2senx + 1) + -2(2senx + 1) = 0

Reorder the terms:
cesx(1 + 2ensx) + -2(2senx + 1) = 0
(1 * cesx + 2ensx * cesx) + -2(2senx + 1) = 0
(1cesx + 2ce2ns2x2) + -2(2senx + 1) = 0

Reorder the terms:
1cesx + 2ce2ns2x2 + -2(1 + 2ensx) = 0
1cesx + 2ce2ns2x2 + (1 * -2 + 2ensx * -2) = 0
1cesx + 2ce2ns2x2 + (-2 + -4ensx) = 0

Reorder the terms:
-2 + 1cesx + 2ce2ns2x2 + -4ensx = 0

Solving
-2 + 1cesx + 2ce2ns2x2 + -4ensx = 0

Solving for variable 'c'.

Move all terms containing c to the left, all other terms to the right.

Add '2' to each side of the equation.
-2 + 1cesx + 2ce2ns2x2 + 2 + -4ensx = 0 + 2

Reorder the terms:
-2 + 2 + 1cesx + 2ce2ns2x2 + -4ensx = 0 + 2

Combine like terms: -2 + 2 = 0
0 + 1cesx + 2ce2ns2x2 + -4ensx = 0 + 2
1cesx + 2ce2ns2x2 + -4ensx = 0 + 2

Combine like terms: 0 + 2 = 2
1cesx + 2ce2ns2x2 + -4ensx = 2

Add '4ensx' to each side of the equation.
1cesx + 2ce2ns2x2 + -4ensx + 4ensx = 2 + 4ensx

Combine like terms: -4ensx + 4ensx = 0
1cesx + 2ce2ns2x2 + 0 = 2 + 4ensx
1cesx + 2ce2ns2x2 = 2 + 4ensx

Reorder the terms:
-2 + 1cesx + 2ce2ns2x2 + -4ensx = 2 + 4ensx + -2 + -4ensx

Reorder the terms:
-2 + 1cesx + 2ce2ns2x2 + -4ensx = 2 + -2 + 4ensx + -4ensx

Combine like terms: 2 + -2 = 0
-2 + 1cesx + 2ce2ns2x2 + -4ensx = 0 + 4ensx + -4ensx
-2 + 1cesx + 2ce2ns2x2 + -4ensx = 4ensx + -4ensx

Combine like terms: 4ensx + -4ensx = 0
-2 + 1cesx + 2ce2ns2x2 + -4ensx = 0

The solution to this equation could not be determined.

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