2sinx=3cos^2x+sin^2x

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Solution for 2sinx=3cos^2x+sin^2x equation: 


Simplifying
2sinx = 3cos2x + sin2x

Solving
2insx = 3cos2x + in2sx

Solving for variable 'i'.

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

Add '-1in2sx' to each side of the equation.
2insx + -1in2sx = 3cos2x + in2sx + -1in2sx

Combine like terms: in2sx + -1in2sx = 0
2insx + -1in2sx = 3cos2x + 0
2insx + -1in2sx = 3cos2x

Reorder the terms:
-3cos2x + 2insx + -1in2sx = 3cos2x + -3cos2x

Combine like terms: 3cos2x + -3cos2x = 0
-3cos2x + 2insx + -1in2sx = 0

Factor out the Greatest Common Factor (GCF), 'sx'.
sx(-3cos + 2in + -1in2) = 0


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

Simplifying
sx = 0

Solving
sx = 0

Move all terms containing i 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 '(-3cos + 2in + -1in2)' equal to zero and attempt to solve:

Simplifying
-3cos + 2in + -1in2 = 0

Solving
-3cos + 2in + -1in2 = 0

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

Add '3cos' to each side of the equation.
-3cos + 2in + 3cos + -1in2 = 0 + 3cos

Reorder the terms:
-3cos + 3cos + 2in + -1in2 = 0 + 3cos

Combine like terms: -3cos + 3cos = 0
0 + 2in + -1in2 = 0 + 3cos
2in + -1in2 = 0 + 3cos
Remove the zero:
2in + -1in2 = 3cos

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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