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Simplifying 2z2 + -5zi = iz2 Reorder the terms: -5iz + 2z2 = iz2 Solving -5iz + 2z2 = iz2 Solving for variable 'i'. Move all terms containing i to the left, all other terms to the right. Add '-1iz2' to each side of the equation. -5iz + -1iz2 + 2z2 = iz2 + -1iz2 Combine like terms: iz2 + -1iz2 = 0 -5iz + -1iz2 + 2z2 = 0 Add '-2z2' to each side of the equation. -5iz + -1iz2 + 2z2 + -2z2 = 0 + -2z2 Combine like terms: 2z2 + -2z2 = 0 -5iz + -1iz2 + 0 = 0 + -2z2 -5iz + -1iz2 = 0 + -2z2 Remove the zero: -5iz + -1iz2 = -2z2 Combine like terms: -2z2 + 2z2 = 0 -5iz + -1iz2 + 2z2 = 0 Factor out the Greatest Common Factor (GCF), 'z'. z(-5i + -1iz + 2z) = 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 '(-5i + -1iz + 2z)' equal to zero and attempt to solve: Simplifying -5i + -1iz + 2z = 0 Solving -5i + -1iz + 2z = 0 Move all terms containing i to the left, all other terms to the right. Add '-2z' to each side of the equation. -5i + -1iz + 2z + -2z = 0 + -2z Combine like terms: 2z + -2z = 0 -5i + -1iz + 0 = 0 + -2z -5i + -1iz = 0 + -2z Remove the zero: -5i + -1iz = -2z 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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