sen^2(x)+2=cos^2(x)+3sen(x)

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


Simplifying
sen2(x) + 2 = cos2(x) + 3sen(x)

Multiply en2s * x
en2sx + 2 = cos2(x) + 3sen(x)

Reorder the terms:
2 + en2sx = cos2(x) + 3sen(x)

Multiply cos2 * x
2 + en2sx = cos2x + 3sen(x)

Multiply ens * x
2 + en2sx = cos2x + 3ensx

Solving
2 + en2sx = cos2x + 3ensx

Solving for variable 'e'.

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

Add '-3ensx' to each side of the equation.
2 + -3ensx + en2sx = cos2x + 3ensx + -3ensx

Combine like terms: 3ensx + -3ensx = 0
2 + -3ensx + en2sx = cos2x + 0
2 + -3ensx + en2sx = cos2x

Add '-2' to each side of the equation.
2 + -3ensx + -2 + en2sx = -2 + cos2x

Reorder the terms:
2 + -2 + -3ensx + en2sx = -2 + cos2x

Combine like terms: 2 + -2 = 0
0 + -3ensx + en2sx = -2 + cos2x
-3ensx + en2sx = -2 + cos2x

Reorder the terms:
2 + -1cos2x + -3ensx + en2sx = -2 + cos2x + 2 + -1cos2x

Reorder the terms:
2 + -1cos2x + -3ensx + en2sx = -2 + 2 + cos2x + -1cos2x

Combine like terms: -2 + 2 = 0
2 + -1cos2x + -3ensx + en2sx = 0 + cos2x + -1cos2x
2 + -1cos2x + -3ensx + en2sx = cos2x + -1cos2x

Combine like terms: cos2x + -1cos2x = 0
2 + -1cos2x + -3ensx + en2sx = 0

The solution to this equation could not be determined.

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