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Simplifying 2z3 + -1(5 + -1i) * z2 + 6z = 0 Reorder the terms for easier multiplication: 2z3 + -1z2(5 + -1i) + 6z = 0 2z3 + (5 * -1z2 + -1i * -1z2) + 6z = 0 Reorder the terms: 2z3 + (1iz2 + -5z2) + 6z = 0 2z3 + (1iz2 + -5z2) + 6z = 0 Reorder the terms: 1iz2 + 6z + -5z2 + 2z3 = 0 Solving 1iz2 + 6z + -5z2 + 2z3 = 0 Solving for variable 'i'. Move all terms containing i to the left, all other terms to the right. Add '-6z' to each side of the equation. 1iz2 + 6z + -5z2 + -6z + 2z3 = 0 + -6z Reorder the terms: 1iz2 + 6z + -6z + -5z2 + 2z3 = 0 + -6z Combine like terms: 6z + -6z = 0 1iz2 + 0 + -5z2 + 2z3 = 0 + -6z 1iz2 + -5z2 + 2z3 = 0 + -6z Remove the zero: 1iz2 + -5z2 + 2z3 = -6z Add '5z2' to each side of the equation. 1iz2 + -5z2 + 5z2 + 2z3 = -6z + 5z2 Combine like terms: -5z2 + 5z2 = 0 1iz2 + 0 + 2z3 = -6z + 5z2 1iz2 + 2z3 = -6z + 5z2 Add '-2z3' to each side of the equation. 1iz2 + 2z3 + -2z3 = -6z + 5z2 + -2z3 Combine like terms: 2z3 + -2z3 = 0 1iz2 + 0 = -6z + 5z2 + -2z3 1iz2 = -6z + 5z2 + -2z3 Divide each side by '1z2'. i = -6z-1 + 5 + -2z Simplifying i = -6z-1 + 5 + -2z Reorder the terms: i = 5 + -6z-1 + -2z
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