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

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


Simplifying
2sin2(x) + 4sin(x) * cos(x) + -4cos2x = 0

Multiply in2s * x
2in2sx + 4sin(x) * cos(x) + -4cos2x = 0

Multiply ins * x
2in2sx + 4insx * cos * x + -4cos2x = 0

Multiply insx * cos
2in2sx + 4cinos2x * x + -4cos2x = 0

Multiply cinos2x * x
2in2sx + 4cinos2x2 + -4cos2x = 0

Reorder the terms:
4cinos2x2 + -4cos2x + 2in2sx = 0

Solving
4cinos2x2 + -4cos2x + 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.
4cinos2x2 + -4cos2x + 2in2sx + -2in2sx = 0 + -2in2sx

Combine like terms: 2in2sx + -2in2sx = 0
4cinos2x2 + -4cos2x + 0 = 0 + -2in2sx
4cinos2x2 + -4cos2x = 0 + -2in2sx
Remove the zero:
4cinos2x2 + -4cos2x = -2in2sx

Combine like terms: -2in2sx + 2in2sx = 0
4cinos2x2 + -4cos2x + 2in2sx = 0

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

Ignore the factor 2.

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

Simplifying
2cinosx + -2cos + in2 = 0

Solving
2cinosx + -2cos + in2 = 0

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

Add '-1in2' to each side of the equation.
2cinosx + -2cos + in2 + -1in2 = 0 + -1in2

Combine like terms: in2 + -1in2 = 0
2cinosx + -2cos + 0 = 0 + -1in2
2cinosx + -2cos = 0 + -1in2
Remove the zero:
2cinosx + -2cos = -1in2

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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