2+sen^2(x)+cos(2x)=4*cos^2(x)

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Solution for 2+sen^2(x)+cos(2x)=4*cos^2(x) equation: 


Simplifying
2 + sen2(x) + cos(2x) = 4cos2(x)

Multiply en2s * x
2 + en2sx + cos(2x) = 4cos2(x)

Remove parenthesis around (2x)
2 + en2sx + cos * 2x = 4cos2(x)

Reorder the terms for easier multiplication:
2 + en2sx + 2cos * x = 4cos2(x)

Multiply cos * x
2 + en2sx + 2cosx = 4cos2(x)

Reorder the terms:
2 + 2cosx + en2sx = 4cos2(x)

Multiply cos2 * x
2 + 2cosx + en2sx = 4cos2x

Solving
2 + 2cosx + en2sx = 4cos2x

Solving for variable 'c'.

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

Add '-4cos2x' to each side of the equation.
2 + 2cosx + -4cos2x + en2sx = 4cos2x + -4cos2x

Combine like terms: 4cos2x + -4cos2x = 0
2 + 2cosx + -4cos2x + en2sx = 0

Add '-2' to each side of the equation.
2 + 2cosx + -4cos2x + -2 + en2sx = 0 + -2

Reorder the terms:
2 + -2 + 2cosx + -4cos2x + en2sx = 0 + -2

Combine like terms: 2 + -2 = 0
0 + 2cosx + -4cos2x + en2sx = 0 + -2
2cosx + -4cos2x + en2sx = 0 + -2

Combine like terms: 0 + -2 = -2
2cosx + -4cos2x + en2sx = -2

Add '-1en2sx' to each side of the equation.
2cosx + -4cos2x + en2sx + -1en2sx = -2 + -1en2sx

Combine like terms: en2sx + -1en2sx = 0
2cosx + -4cos2x + 0 = -2 + -1en2sx
2cosx + -4cos2x = -2 + -1en2sx

Reorder the terms:
2 + 2cosx + -4cos2x + en2sx = -2 + -1en2sx + 2 + en2sx

Reorder the terms:
2 + 2cosx + -4cos2x + en2sx = -2 + 2 + -1en2sx + en2sx

Combine like terms: -2 + 2 = 0
2 + 2cosx + -4cos2x + en2sx = 0 + -1en2sx + en2sx
2 + 2cosx + -4cos2x + en2sx = -1en2sx + en2sx

Combine like terms: -1en2sx + en2sx = 0
2 + 2cosx + -4cos2x + en2sx = 0

The solution to this equation could not be determined.

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