2cos^2(x)+3sin(x)xcos(x)=2sin^2(x)

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Solution for 2cos^2(x)+3sin(x)xcos(x)=2sin^2(x) equation: 


Simplifying
2cos2(x) + 3sin(x) * xcos(x) = 2sin2(x)

Multiply cos2 * x
2cos2x + 3sin(x) * xcos(x) = 2sin2(x)

Multiply ins * x
2cos2x + 3insx * cosx * x = 2sin2(x)

Multiply insx * cosx
2cos2x + 3cinos2x2 * x = 2sin2(x)

Multiply cinos2x2 * x
2cos2x + 3cinos2x3 = 2sin2(x)

Reorder the terms:
3cinos2x3 + 2cos2x = 2sin2(x)

Multiply in2s * x
3cinos2x3 + 2cos2x = 2in2sx

Solving
3cinos2x3 + 2cos2x = 2in2sx

Solving for variable 'c'.

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

Combine like terms: 2in2sx + -2in2sx = 0
3cinos2x3 + 2cos2x + -2in2sx = 0

Factor out the Greatest Common Factor (GCF), 'sx'.
sx(3cinosx2 + 2cos + -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 '(3cinosx2 + 2cos + -2in2)' equal to zero and attempt to solve:

Simplifying
3cinosx2 + 2cos + -2in2 = 0

Solving
3cinosx2 + 2cos + -2in2 = 0

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

Add '2in2' to each side of the equation.
3cinosx2 + 2cos + -2in2 + 2in2 = 0 + 2in2

Combine like terms: -2in2 + 2in2 = 0
3cinosx2 + 2cos + 0 = 0 + 2in2
3cinosx2 + 2cos = 0 + 2in2
Remove the zero:
3cinosx2 + 2cos = 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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