2(sen^6x+cos^6x)-3(sen^4x+cos^4x)+1=0

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Solution for 2(sen^6x+cos^6x)-3(sen^4x+cos^4x)+1=0 equation: 


Simplifying
2(sen6x + cos6x) + -3(sen4x + cos4x) + 1 = 0

Reorder the terms:
2(cos6x + en6sx) + -3(sen4x + cos4x) + 1 = 0
(cos6x * 2 + en6sx * 2) + -3(sen4x + cos4x) + 1 = 0
(2cos6x + 2en6sx) + -3(sen4x + cos4x) + 1 = 0

Reorder the terms:
2cos6x + 2en6sx + -3(cos4x + en4sx) + 1 = 0
2cos6x + 2en6sx + (cos4x * -3 + en4sx * -3) + 1 = 0
2cos6x + 2en6sx + (-3cos4x + -3en4sx) + 1 = 0

Reorder the terms:
1 + -3cos4x + 2cos6x + -3en4sx + 2en6sx = 0

Solving
1 + -3cos4x + 2cos6x + -3en4sx + 2en6sx = 0

Solving for variable 'c'.

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

Add '-1' to each side of the equation.
1 + -3cos4x + 2cos6x + -3en4sx + -1 + 2en6sx = 0 + -1

Reorder the terms:
1 + -1 + -3cos4x + 2cos6x + -3en4sx + 2en6sx = 0 + -1

Combine like terms: 1 + -1 = 0
0 + -3cos4x + 2cos6x + -3en4sx + 2en6sx = 0 + -1
-3cos4x + 2cos6x + -3en4sx + 2en6sx = 0 + -1

Combine like terms: 0 + -1 = -1
-3cos4x + 2cos6x + -3en4sx + 2en6sx = -1

Add '3en4sx' to each side of the equation.
-3cos4x + 2cos6x + -3en4sx + 3en4sx + 2en6sx = -1 + 3en4sx

Combine like terms: -3en4sx + 3en4sx = 0
-3cos4x + 2cos6x + 0 + 2en6sx = -1 + 3en4sx
-3cos4x + 2cos6x + 2en6sx = -1 + 3en4sx

Add '-2en6sx' to each side of the equation.
-3cos4x + 2cos6x + 2en6sx + -2en6sx = -1 + 3en4sx + -2en6sx

Combine like terms: 2en6sx + -2en6sx = 0
-3cos4x + 2cos6x + 0 = -1 + 3en4sx + -2en6sx
-3cos4x + 2cos6x = -1 + 3en4sx + -2en6sx

Reorder the terms:
1 + -3cos4x + 2cos6x + -3en4sx + 2en6sx = -1 + 3en4sx + -2en6sx + 1 + -3en4sx + 2en6sx

Reorder the terms:
1 + -3cos4x + 2cos6x + -3en4sx + 2en6sx = -1 + 1 + 3en4sx + -3en4sx + -2en6sx + 2en6sx

Combine like terms: -1 + 1 = 0
1 + -3cos4x + 2cos6x + -3en4sx + 2en6sx = 0 + 3en4sx + -3en4sx + -2en6sx + 2en6sx
1 + -3cos4x + 2cos6x + -3en4sx + 2en6sx = 3en4sx + -3en4sx + -2en6sx + 2en6sx

Combine like terms: 3en4sx + -3en4sx = 0
1 + -3cos4x + 2cos6x + -3en4sx + 2en6sx = 0 + -2en6sx + 2en6sx
1 + -3cos4x + 2cos6x + -3en4sx + 2en6sx = -2en6sx + 2en6sx

Combine like terms: -2en6sx + 2en6sx = 0
1 + -3cos4x + 2cos6x + -3en4sx + 2en6sx = 0

The solution to this equation could not be determined.

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