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Simplifying 2z3 + -3z2 + 5z + 3i + -3 = 0 Reorder the terms: -3 + 3i + 5z + -3z2 + 2z3 = 0 Solving -3 + 3i + 5z + -3z2 + 2z3 = 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 + 3i + 5z + -3z2 + 3 + 2z3 = 0 + 3 Reorder the terms: -3 + 3 + 3i + 5z + -3z2 + 2z3 = 0 + 3 Combine like terms: -3 + 3 = 0 0 + 3i + 5z + -3z2 + 2z3 = 0 + 3 3i + 5z + -3z2 + 2z3 = 0 + 3 Combine like terms: 0 + 3 = 3 3i + 5z + -3z2 + 2z3 = 3 Add '-5z' to each side of the equation. 3i + 5z + -3z2 + -5z + 2z3 = 3 + -5z Reorder the terms: 3i + 5z + -5z + -3z2 + 2z3 = 3 + -5z Combine like terms: 5z + -5z = 0 3i + 0 + -3z2 + 2z3 = 3 + -5z 3i + -3z2 + 2z3 = 3 + -5z Add '3z2' to each side of the equation. 3i + -3z2 + 3z2 + 2z3 = 3 + -5z + 3z2 Combine like terms: -3z2 + 3z2 = 0 3i + 0 + 2z3 = 3 + -5z + 3z2 3i + 2z3 = 3 + -5z + 3z2 Add '-2z3' to each side of the equation. 3i + 2z3 + -2z3 = 3 + -5z + 3z2 + -2z3 Combine like terms: 2z3 + -2z3 = 0 3i + 0 = 3 + -5z + 3z2 + -2z3 3i = 3 + -5z + 3z2 + -2z3 Divide each side by '3'. i = 1 + -1.666666667z + z2 + -0.6666666667z3 Simplifying i = 1 + -1.666666667z + z2 + -0.6666666667z3
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