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

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


Simplifying
2(sin6x + cos6x) + -3(sin4x + cos4x) = -1

Reorder the terms:
2(cos6x + in6sx) + -3(sin4x + cos4x) = -1
(cos6x * 2 + in6sx * 2) + -3(sin4x + cos4x) = -1
(2cos6x + 2in6sx) + -3(sin4x + cos4x) = -1

Reorder the terms:
2cos6x + 2in6sx + -3(cos4x + in4sx) = -1
2cos6x + 2in6sx + (cos4x * -3 + in4sx * -3) = -1
2cos6x + 2in6sx + (-3cos4x + -3in4sx) = -1

Reorder the terms:
-3cos4x + 2cos6x + -3in4sx + 2in6sx = -1

Solving
-3cos4x + 2cos6x + -3in4sx + 2in6sx = -1

Solving for variable 'c'.

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

Add '3in4sx' to each side of the equation.
-3cos4x + 2cos6x + -3in4sx + 3in4sx + 2in6sx = -1 + 3in4sx

Combine like terms: -3in4sx + 3in4sx = 0
-3cos4x + 2cos6x + 0 + 2in6sx = -1 + 3in4sx
-3cos4x + 2cos6x + 2in6sx = -1 + 3in4sx

Add '-2in6sx' to each side of the equation.
-3cos4x + 2cos6x + 2in6sx + -2in6sx = -1 + 3in4sx + -2in6sx

Combine like terms: 2in6sx + -2in6sx = 0
-3cos4x + 2cos6x + 0 = -1 + 3in4sx + -2in6sx
-3cos4x + 2cos6x = -1 + 3in4sx + -2in6sx

Reorder the terms:
1 + -3cos4x + 2cos6x + -3in4sx + 2in6sx = -1 + 3in4sx + -2in6sx + 1 + -3in4sx + 2in6sx

Reorder the terms:
1 + -3cos4x + 2cos6x + -3in4sx + 2in6sx = -1 + 1 + 3in4sx + -3in4sx + -2in6sx + 2in6sx

Combine like terms: -1 + 1 = 0
1 + -3cos4x + 2cos6x + -3in4sx + 2in6sx = 0 + 3in4sx + -3in4sx + -2in6sx + 2in6sx
1 + -3cos4x + 2cos6x + -3in4sx + 2in6sx = 3in4sx + -3in4sx + -2in6sx + 2in6sx

Combine like terms: 3in4sx + -3in4sx = 0
1 + -3cos4x + 2cos6x + -3in4sx + 2in6sx = 0 + -2in6sx + 2in6sx
1 + -3cos4x + 2cos6x + -3in4sx + 2in6sx = -2in6sx + 2in6sx

Combine like terms: -2in6sx + 2in6sx = 0
1 + -3cos4x + 2cos6x + -3in4sx + 2in6sx = 0

The solution to this equation could not be determined.

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