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Simplifying 2z2 + -16iz + -32 = 0 Reorder the terms: -32 + -16iz + 2z2 = 0 Solving -32 + -16iz + 2z2 = 0 Solving for variable 'i'. Move all terms containing i to the left, all other terms to the right. Add '32' to each side of the equation. -32 + -16iz + 32 + 2z2 = 0 + 32 Reorder the terms: -32 + 32 + -16iz + 2z2 = 0 + 32 Combine like terms: -32 + 32 = 0 0 + -16iz + 2z2 = 0 + 32 -16iz + 2z2 = 0 + 32 Combine like terms: 0 + 32 = 32 -16iz + 2z2 = 32 Add '-2z2' to each side of the equation. -16iz + 2z2 + -2z2 = 32 + -2z2 Combine like terms: 2z2 + -2z2 = 0 -16iz + 0 = 32 + -2z2 -16iz = 32 + -2z2 Divide each side by '-16z'. i = -2z-1 + 0.125z Simplifying i = -2z-1 + 0.125z
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