tg^2x-5sinx*cosx+6cos^2x=0

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Solution for tg^2x-5sinx*cosx+6cos^2x=0 equation: 


Simplifying
tg2x + -5sinx * cosx + 6cos2x = 0

Multiply insx * cosx
g2tx + -5cinos2x2 + 6cos2x = 0

Reorder the terms:
-5cinos2x2 + 6cos2x + g2tx = 0

Solving
-5cinos2x2 + 6cos2x + g2tx = 0

Solving for variable 'c'.

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

Add '-1g2tx' to each side of the equation.
-5cinos2x2 + 6cos2x + g2tx + -1g2tx = 0 + -1g2tx

Combine like terms: g2tx + -1g2tx = 0
-5cinos2x2 + 6cos2x + 0 = 0 + -1g2tx
-5cinos2x2 + 6cos2x = 0 + -1g2tx
Remove the zero:
-5cinos2x2 + 6cos2x = -1g2tx

Combine like terms: -1g2tx + g2tx = 0
-5cinos2x2 + 6cos2x + g2tx = 0

Factor out the Greatest Common Factor (GCF), 'x'.
x(-5cinos2x + 6cos2 + g2t) = 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 '(-5cinos2x + 6cos2 + g2t)' equal to zero and attempt to solve:

Simplifying
-5cinos2x + 6cos2 + g2t = 0

Solving
-5cinos2x + 6cos2 + g2t = 0

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

Add '-1g2t' to each side of the equation.
-5cinos2x + 6cos2 + g2t + -1g2t = 0 + -1g2t

Combine like terms: g2t + -1g2t = 0
-5cinos2x + 6cos2 + 0 = 0 + -1g2t
-5cinos2x + 6cos2 = 0 + -1g2t
Remove the zero:
-5cinos2x + 6cos2 = -1g2t

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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