(z^2)+2zcosa-(sin^2)a-i=0

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Solution for (z^2)+2zcosa-(sin^2)a-i=0 equation:


Simplifying
(z2) + 2zcosa + -1(sin2) * a + -1i = 0
z2 + 2zcosa + -1(sin2) * a + -1i = 0

Multiply in2s * a
z2 + 2acosz + -1ain2s + -1i = 0

Reorder the terms:
2acosz + -1ain2s + -1i + z2 = 0

Solving
2acosz + -1ain2s + -1i + z2 = 0

Solving for variable 'a'.

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

Add 'i' to each side of the equation.
2acosz + -1ain2s + -1i + i + z2 = 0 + i

Combine like terms: -1i + i = 0
2acosz + -1ain2s + 0 + z2 = 0 + i
2acosz + -1ain2s + z2 = 0 + i
Remove the zero:
2acosz + -1ain2s + z2 = i

Add '-1z2' to each side of the equation.
2acosz + -1ain2s + z2 + -1z2 = i + -1z2

Combine like terms: z2 + -1z2 = 0
2acosz + -1ain2s + 0 = i + -1z2
2acosz + -1ain2s = i + -1z2

Reorder the terms:
2acosz + -1ain2s + -1i + z2 = i + -1i + -1z2 + z2

Combine like terms: i + -1i = 0
2acosz + -1ain2s + -1i + z2 = 0 + -1z2 + z2
2acosz + -1ain2s + -1i + z2 = -1z2 + z2

Combine like terms: -1z2 + z2 = 0
2acosz + -1ain2s + -1i + z2 = 0

The solution to this equation could not be determined.

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