3cos^2(2*x)+tgx*ctgx+3*sin^2x=0

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Solution for 3cos^2(2*x)+tgx*ctgx+3*sin^2x=0 equation: 


Simplifying
3cos2(2x) + tgx * ctgx + 3sin2x = 0

Remove parenthesis around (2x)
3cos2 * 2x + tgx * ctgx + 3sin2x = 0

Reorder the terms for easier multiplication:
3 * 2cos2 * x + tgx * ctgx + 3sin2x = 0

Multiply 3 * 2
6cos2 * x + tgx * ctgx + 3sin2x = 0

Multiply cos2 * x
6cos2x + tgx * ctgx + 3sin2x = 0

Multiply gtx * cgtx
6cos2x + cg2t2x2 + 3sin2x = 0

Reorder the terms:
cg2t2x2 + 6cos2x + 3in2sx = 0

Solving
cg2t2x2 + 6cos2x + 3in2sx = 0

Solving for variable 'c'.

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

Add '-3in2sx' to each side of the equation.
cg2t2x2 + 6cos2x + 3in2sx + -3in2sx = 0 + -3in2sx

Combine like terms: 3in2sx + -3in2sx = 0
cg2t2x2 + 6cos2x + 0 = 0 + -3in2sx
cg2t2x2 + 6cos2x = 0 + -3in2sx
Remove the zero:
cg2t2x2 + 6cos2x = -3in2sx

Combine like terms: -3in2sx + 3in2sx = 0
cg2t2x2 + 6cos2x + 3in2sx = 0

Factor out the Greatest Common Factor (GCF), 'x'.
x(cg2t2x + 6cos2 + 3in2s) = 0


Subproblem 1
Set the factor 'x' equal to zero and attempt to solve:

Simplifying
x = 0

Solving
x = 0

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

Add '-1x' to each side of the equation.
x + -1x = 0 + -1x
Remove the zero:
0 = -1x

Simplifying
0 = -1x

The solution to this equation could not be determined.

This subproblem is being ignored because a solution could not be determined.

Subproblem 2
Set the factor '(cg2t2x + 6cos2 + 3in2s)' equal to zero and attempt to solve:

Simplifying
cg2t2x + 6cos2 + 3in2s = 0

Solving
cg2t2x + 6cos2 + 3in2s = 0

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

Add '-3in2s' to each side of the equation.
cg2t2x + 6cos2 + 3in2s + -3in2s = 0 + -3in2s

Combine like terms: 3in2s + -3in2s = 0
cg2t2x + 6cos2 + 0 = 0 + -3in2s
cg2t2x + 6cos2 = 0 + -3in2s
Remove the zero:
cg2t2x + 6cos2 = -3in2s

The solution to this equation could not be determined.

This subproblem is being ignored because a solution could not be determined.

The solution to this equation could not be determined.

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