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Simplifying z2 + 2z(i + -6) + 30 = 0 Reorder the terms: z2 + 2z(-6 + i) + 30 = 0 z2 + (-6 * 2z + i * 2z) + 30 = 0 Reorder the terms: z2 + (2iz + -12z) + 30 = 0 z2 + (2iz + -12z) + 30 = 0 Reorder the terms: 30 + 2iz + -12z + z2 = 0 Solving 30 + 2iz + -12z + z2 = 0 Solving for variable 'i'. Move all terms containing i to the left, all other terms to the right. Add '-30' to each side of the equation. 30 + 2iz + -12z + -30 + z2 = 0 + -30 Reorder the terms: 30 + -30 + 2iz + -12z + z2 = 0 + -30 Combine like terms: 30 + -30 = 0 0 + 2iz + -12z + z2 = 0 + -30 2iz + -12z + z2 = 0 + -30 Combine like terms: 0 + -30 = -30 2iz + -12z + z2 = -30 Add '12z' to each side of the equation. 2iz + -12z + 12z + z2 = -30 + 12z Combine like terms: -12z + 12z = 0 2iz + 0 + z2 = -30 + 12z 2iz + z2 = -30 + 12z Add '-1z2' to each side of the equation. 2iz + z2 + -1z2 = -30 + 12z + -1z2 Combine like terms: z2 + -1z2 = 0 2iz + 0 = -30 + 12z + -1z2 2iz = -30 + 12z + -1z2 Divide each side by '2z'. i = -15z-1 + 6 + -0.5z Simplifying i = -15z-1 + 6 + -0.5z Reorder the terms: i = 6 + -15z-1 + -0.5z
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