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Simplifying iz3 + -1(2 + -1i) * z2 = 0 Reorder the terms for easier multiplication: iz3 + -1z2(2 + -1i) = 0 iz3 + (2 * -1z2 + -1i * -1z2) = 0 Reorder the terms: iz3 + (1iz2 + -2z2) = 0 iz3 + (1iz2 + -2z2) = 0 Reorder the terms: 1iz2 + iz3 + -2z2 = 0 Solving 1iz2 + iz3 + -2z2 = 0 Solving for variable 'i'. Move all terms containing i to the left, all other terms to the right. Add '2z2' to each side of the equation. 1iz2 + iz3 + -2z2 + 2z2 = 0 + 2z2 Combine like terms: -2z2 + 2z2 = 0 1iz2 + iz3 + 0 = 0 + 2z2 1iz2 + iz3 = 0 + 2z2 Remove the zero: 1iz2 + iz3 = 2z2 Combine like terms: 2z2 + -2z2 = 0 1iz2 + iz3 + -2z2 = 0 Factor out the Greatest Common Factor (GCF), 'z2'. z2(i + iz + -2) = 0Subproblem 1
Set the factor 'z2' equal to zero and attempt to solve: Simplifying z2 = 0 Solving z2 = 0 Move all terms containing i to the left, all other terms to the right. Add '-1z2' to each side of the equation. z2 + -1z2 = 0 + -1z2 Remove the zero: 0 = -1z2 Simplifying 0 = -1z2 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 '(i + iz + -2)' equal to zero and attempt to solve: Simplifying i + iz + -2 = 0 Reorder the terms: -2 + i + iz = 0 Solving -2 + i + iz = 0 Move all terms containing i to the left, all other terms to the right. Add '2' to each side of the equation. -2 + i + 2 + iz = 0 + 2 Reorder the terms: -2 + 2 + i + iz = 0 + 2 Combine like terms: -2 + 2 = 0 0 + i + iz = 0 + 2 i + iz = 0 + 2 Combine like terms: 0 + 2 = 2 i + iz = 2 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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