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Simplifying z2 + 2z + -7 + -6i = 0 Reorder the terms: -7 + -6i + 2z + z2 = 0 Solving -7 + -6i + 2z + z2 = 0 Solving for variable 'i'. Move all terms containing i to the left, all other terms to the right. Add '7' to each side of the equation. -7 + -6i + 2z + 7 + z2 = 0 + 7 Reorder the terms: -7 + 7 + -6i + 2z + z2 = 0 + 7 Combine like terms: -7 + 7 = 0 0 + -6i + 2z + z2 = 0 + 7 -6i + 2z + z2 = 0 + 7 Combine like terms: 0 + 7 = 7 -6i + 2z + z2 = 7 Add '-2z' to each side of the equation. -6i + 2z + -2z + z2 = 7 + -2z Combine like terms: 2z + -2z = 0 -6i + 0 + z2 = 7 + -2z -6i + z2 = 7 + -2z Add '-1z2' to each side of the equation. -6i + z2 + -1z2 = 7 + -2z + -1z2 Combine like terms: z2 + -1z2 = 0 -6i + 0 = 7 + -2z + -1z2 -6i = 7 + -2z + -1z2 Divide each side by '-6'. i = -1.166666667 + 0.3333333333z + 0.1666666667z2 Simplifying i = -1.166666667 + 0.3333333333z + 0.1666666667z2
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