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Simplifying z2 + 12jz + 64 = 0 Reorder the terms: 64 + 12jz + z2 = 0 Solving 64 + 12jz + z2 = 0 Solving for variable 'j'. Move all terms containing j to the left, all other terms to the right. Add '-64' to each side of the equation. 64 + 12jz + -64 + z2 = 0 + -64 Reorder the terms: 64 + -64 + 12jz + z2 = 0 + -64 Combine like terms: 64 + -64 = 0 0 + 12jz + z2 = 0 + -64 12jz + z2 = 0 + -64 Combine like terms: 0 + -64 = -64 12jz + z2 = -64 Add '-1z2' to each side of the equation. 12jz + z2 + -1z2 = -64 + -1z2 Combine like terms: z2 + -1z2 = 0 12jz + 0 = -64 + -1z2 12jz = -64 + -1z2 Divide each side by '12z'. j = -5.333333333z-1 + -0.08333333333z Simplifying j = -5.333333333z-1 + -0.08333333333z
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