3sin^2(x)-sin(x)cos(x)-4cos^2(x)=0

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Solution for 3sin^2(x)-sin(x)cos(x)-4cos^2(x)=0 equation: 


Simplifying
3sin2(x) + -1sin(x) * cos(x) + -4cos2(x) = 0

Multiply in2s * x
3in2sx + -1sin(x) * cos(x) + -4cos2(x) = 0

Multiply ins * x
3in2sx + -1insx * cos * x + -4cos2(x) = 0

Multiply insx * cos
3in2sx + -1cinos2x * x + -4cos2(x) = 0

Multiply cinos2x * x
3in2sx + -1cinos2x2 + -4cos2(x) = 0

Multiply cos2 * x
3in2sx + -1cinos2x2 + -4cos2x = 0

Reorder the terms:
-1cinos2x2 + -4cos2x + 3in2sx = 0

Solving
-1cinos2x2 + -4cos2x + 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.
-1cinos2x2 + -4cos2x + 3in2sx + -3in2sx = 0 + -3in2sx

Combine like terms: 3in2sx + -3in2sx = 0
-1cinos2x2 + -4cos2x + 0 = 0 + -3in2sx
-1cinos2x2 + -4cos2x = 0 + -3in2sx
Remove the zero:
-1cinos2x2 + -4cos2x = -3in2sx

Combine like terms: -3in2sx + 3in2sx = 0
-1cinos2x2 + -4cos2x + 3in2sx = 0

Factor out the Greatest Common Factor (GCF), 'sx'.
sx(-1cinosx + -4cos + 3in2) = 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 '(-1cinosx + -4cos + 3in2)' equal to zero and attempt to solve:

Simplifying
-1cinosx + -4cos + 3in2 = 0

Solving
-1cinosx + -4cos + 3in2 = 0

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

Add '-3in2' to each side of the equation.
-1cinosx + -4cos + 3in2 + -3in2 = 0 + -3in2

Combine like terms: 3in2 + -3in2 = 0
-1cinosx + -4cos + 0 = 0 + -3in2
-1cinosx + -4cos = 0 + -3in2
Remove the zero:
-1cinosx + -4cos = -3in2

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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