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Simplifying 5z2 + -12z + 3 + 2i = 0 Reorder the terms: 3 + 2i + -12z + 5z2 = 0 Solving 3 + 2i + -12z + 5z2 = 0 Solving for variable 'i'. Move all terms containing i to the left, all other terms to the right. Add '-3' to each side of the equation. 3 + 2i + -12z + -3 + 5z2 = 0 + -3 Reorder the terms: 3 + -3 + 2i + -12z + 5z2 = 0 + -3 Combine like terms: 3 + -3 = 0 0 + 2i + -12z + 5z2 = 0 + -3 2i + -12z + 5z2 = 0 + -3 Combine like terms: 0 + -3 = -3 2i + -12z + 5z2 = -3 Add '12z' to each side of the equation. 2i + -12z + 12z + 5z2 = -3 + 12z Combine like terms: -12z + 12z = 0 2i + 0 + 5z2 = -3 + 12z 2i + 5z2 = -3 + 12z Add '-5z2' to each side of the equation. 2i + 5z2 + -5z2 = -3 + 12z + -5z2 Combine like terms: 5z2 + -5z2 = 0 2i + 0 = -3 + 12z + -5z2 2i = -3 + 12z + -5z2 Divide each side by '2'. i = -1.5 + 6z + -2.5z2 Simplifying i = -1.5 + 6z + -2.5z2
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