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Simplifying 2z2 + 3z + 2i = 0 Reorder the terms: 2i + 3z + 2z2 = 0 Solving 2i + 3z + 2z2 = 0 Solving for variable 'i'. Move all terms containing i to the left, all other terms to the right. Add '-3z' to each side of the equation. 2i + 3z + -3z + 2z2 = 0 + -3z Combine like terms: 3z + -3z = 0 2i + 0 + 2z2 = 0 + -3z 2i + 2z2 = 0 + -3z Remove the zero: 2i + 2z2 = -3z Add '-2z2' to each side of the equation. 2i + 2z2 + -2z2 = -3z + -2z2 Combine like terms: 2z2 + -2z2 = 0 2i + 0 = -3z + -2z2 2i = -3z + -2z2 Divide each side by '2'. i = -1.5z + -1z2 Simplifying i = -1.5z + -1z2
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