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Simplifying (z2) + 2zcosa + -1(sin2) * l + -1i = 0 z2 + 2zcosa + -1(sin2) * l + -1i = 0 Multiply in2s * l z2 + 2acosz + -1iln2s + -1i = 0 Reorder the terms: 2acosz + -1i + -1iln2s + z2 = 0 Solving 2acosz + -1i + -1iln2s + 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 + -1i + -1iln2s + i + z2 = 0 + i Reorder the terms: 2acosz + -1i + i + -1iln2s + z2 = 0 + i Combine like terms: -1i + i = 0 2acosz + 0 + -1iln2s + z2 = 0 + i 2acosz + -1iln2s + z2 = 0 + i Remove the zero: 2acosz + -1iln2s + z2 = i Add 'iln2s' to each side of the equation. 2acosz + -1iln2s + iln2s + z2 = i + iln2s Combine like terms: -1iln2s + iln2s = 0 2acosz + 0 + z2 = i + iln2s 2acosz + z2 = i + iln2s Add '-1z2' to each side of the equation. 2acosz + z2 + -1z2 = i + iln2s + -1z2 Combine like terms: z2 + -1z2 = 0 2acosz + 0 = i + iln2s + -1z2 2acosz = i + iln2s + -1z2 Divide each side by '2cosz'. a = 0.5c-1io-1s-1z-1 + 0.5c-1iln2o-1z-1 + -0.5c-1o-1s-1z Simplifying a = 0.5c-1io-1s-1z-1 + 0.5c-1iln2o-1z-1 + -0.5c-1o-1s-1z Reorder the terms: a = 0.5c-1iln2o-1z-1 + 0.5c-1io-1s-1z-1 + -0.5c-1o-1s-1z
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