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Simplifying z2 + (i + -6) * z + 10 = 0 Reorder the terms: z2 + (-6 + i) * z + 10 = 0 Reorder the terms for easier multiplication: z2 + z(-6 + i) + 10 = 0 z2 + (-6 * z + i * z) + 10 = 0 Reorder the terms: z2 + (iz + -6z) + 10 = 0 z2 + (iz + -6z) + 10 = 0 Reorder the terms: 10 + iz + -6z + z2 = 0 Solving 10 + iz + -6z + z2 = 0 Solving for variable 'i'. Move all terms containing i to the left, all other terms to the right. Add '-10' to each side of the equation. 10 + iz + -6z + -10 + z2 = 0 + -10 Reorder the terms: 10 + -10 + iz + -6z + z2 = 0 + -10 Combine like terms: 10 + -10 = 0 0 + iz + -6z + z2 = 0 + -10 iz + -6z + z2 = 0 + -10 Combine like terms: 0 + -10 = -10 iz + -6z + z2 = -10 Add '6z' to each side of the equation. iz + -6z + 6z + z2 = -10 + 6z Combine like terms: -6z + 6z = 0 iz + 0 + z2 = -10 + 6z iz + z2 = -10 + 6z Add '-1z2' to each side of the equation. iz + z2 + -1z2 = -10 + 6z + -1z2 Combine like terms: z2 + -1z2 = 0 iz + 0 = -10 + 6z + -1z2 iz = -10 + 6z + -1z2 Divide each side by 'z'. i = -10z-1 + 6 + -1z Simplifying i = -10z-1 + 6 + -1z Reorder the terms: i = 6 + -10z-1 + -1z
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