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Simplifying (z + -1i) * z + -1iz2 = 0 Reorder the terms: (-1i + z) * z + -1iz2 = 0 Reorder the terms for easier multiplication: z(-1i + z) + -1iz2 = 0 (-1i * z + z * z) + -1iz2 = 0 (-1iz + z2) + -1iz2 = 0 Reorder the terms: -1iz + -1iz2 + z2 = 0 Solving -1iz + -1iz2 + z2 = 0 Solving for variable 'i'. Move all terms containing i to the left, all other terms to the right. Add '-1z2' to each side of the equation. -1iz + -1iz2 + z2 + -1z2 = 0 + -1z2 Combine like terms: z2 + -1z2 = 0 -1iz + -1iz2 + 0 = 0 + -1z2 -1iz + -1iz2 = 0 + -1z2 Remove the zero: -1iz + -1iz2 = -1z2 Combine like terms: -1z2 + z2 = 0 -1iz + -1iz2 + z2 = 0 Factor out the Greatest Common Factor (GCF), 'z'. z(-1i + -1iz + z) = 0Subproblem 1
Set the factor 'z' equal to zero and attempt to solve: Simplifying z = 0 Solving z = 0 Move all terms containing i to the left, all other terms to the right. Add '-1z' to each side of the equation. z + -1z = 0 + -1z Remove the zero: 0 = -1z Simplifying 0 = -1z The solution to this equation could not be determined. This subproblem is being ignored because a solution could not be determined.Subproblem 2
Set the factor '(-1i + -1iz + z)' equal to zero and attempt to solve: Simplifying -1i + -1iz + z = 0 Solving -1i + -1iz + z = 0 Move all terms containing i to the left, all other terms to the right. Add '-1z' to each side of the equation. -1i + -1iz + z + -1z = 0 + -1z Combine like terms: z + -1z = 0 -1i + -1iz + 0 = 0 + -1z -1i + -1iz = 0 + -1z Remove the zero: -1i + -1iz = -1z The solution to this equation could not be determined. This subproblem is being ignored because a solution could not be determined. The solution to this equation could not be determined.
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