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Simplifying z2 + 2z * cos(a) + -1sin2(a) + -1I = 0 Multiply z * cos z2 + 2cosz * a + -1sin2(a) + -1I = 0 Multiply cosz * a z2 + 2acosz + -1sin2(a) + -1I = 0 Multiply in2s * a z2 + 2acosz + -1ain2s + -1I = 0 Reorder the terms: -1I + 2acosz + -1ain2s + z2 = 0 Solving -1I + 2acosz + -1ain2s + z2 = 0 Solving for variable 'I'. Move all terms containing I to the left, all other terms to the right. Add '-2acosz' to each side of the equation. -1I + 2acosz + -1ain2s + -2acosz + z2 = 0 + -2acosz Reorder the terms: -1I + 2acosz + -2acosz + -1ain2s + z2 = 0 + -2acosz Combine like terms: 2acosz + -2acosz = 0 -1I + 0 + -1ain2s + z2 = 0 + -2acosz -1I + -1ain2s + z2 = 0 + -2acosz Remove the zero: -1I + -1ain2s + z2 = -2acosz Add 'ain2s' to each side of the equation. -1I + -1ain2s + ain2s + z2 = -2acosz + ain2s Combine like terms: -1ain2s + ain2s = 0 -1I + 0 + z2 = -2acosz + ain2s -1I + z2 = -2acosz + ain2s Add '-1z2' to each side of the equation. -1I + z2 + -1z2 = -2acosz + ain2s + -1z2 Combine like terms: z2 + -1z2 = 0 -1I + 0 = -2acosz + ain2s + -1z2 -1I = -2acosz + ain2s + -1z2 Divide each side by '-1'. I = 2acosz + -1ain2s + z2 Simplifying I = 2acosz + -1ain2s + z2
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