2sin^2x+5sinx*cosx+3cos^2x=0

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Solution for 2sin^2x+5sinx*cosx+3cos^2x=0 equation: 


Simplifying
2sin2x + 5sinx * cosx + 3cos2x = 0

Multiply insx * cosx
2in2sx + 5cinos2x2 + 3cos2x = 0

Reorder the terms:
5cinos2x2 + 3cos2x + 2in2sx = 0

Solving
5cinos2x2 + 3cos2x + 2in2sx = 0

Solving for variable 'c'.

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

Add '-2in2sx' to each side of the equation.
5cinos2x2 + 3cos2x + 2in2sx + -2in2sx = 0 + -2in2sx

Combine like terms: 2in2sx + -2in2sx = 0
5cinos2x2 + 3cos2x + 0 = 0 + -2in2sx
5cinos2x2 + 3cos2x = 0 + -2in2sx
Remove the zero:
5cinos2x2 + 3cos2x = -2in2sx

Combine like terms: -2in2sx + 2in2sx = 0
5cinos2x2 + 3cos2x + 2in2sx = 0

Factor out the Greatest Common Factor (GCF), 'sx'.
sx(5cinosx + 3cos + 2in2) = 0


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

Simplifying
sx = 0

Solving
sx = 0

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

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

Simplifying
0 = -1sx

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 '(5cinosx + 3cos + 2in2)' equal to zero and attempt to solve:

Simplifying
5cinosx + 3cos + 2in2 = 0

Solving
5cinosx + 3cos + 2in2 = 0

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

Add '-2in2' to each side of the equation.
5cinosx + 3cos + 2in2 + -2in2 = 0 + -2in2

Combine like terms: 2in2 + -2in2 = 0
5cinosx + 3cos + 0 = 0 + -2in2
5cinosx + 3cos = 0 + -2in2
Remove the zero:
5cinosx + 3cos = -2in2

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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