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Simplifying z2 + -4z + (7 + -4i) = 0 Remove parenthesis around (7 + -4i) z2 + -4z + 7 + -4i = 0 Reorder the terms: 7 + -4i + -4z + z2 = 0 Solving 7 + -4i + -4z + 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 + -4i + -4z + -7 + z2 = 0 + -7 Reorder the terms: 7 + -7 + -4i + -4z + z2 = 0 + -7 Combine like terms: 7 + -7 = 0 0 + -4i + -4z + z2 = 0 + -7 -4i + -4z + z2 = 0 + -7 Combine like terms: 0 + -7 = -7 -4i + -4z + z2 = -7 Add '4z' to each side of the equation. -4i + -4z + 4z + z2 = -7 + 4z Combine like terms: -4z + 4z = 0 -4i + 0 + z2 = -7 + 4z -4i + z2 = -7 + 4z Add '-1z2' to each side of the equation. -4i + z2 + -1z2 = -7 + 4z + -1z2 Combine like terms: z2 + -1z2 = 0 -4i + 0 = -7 + 4z + -1z2 -4i = -7 + 4z + -1z2 Divide each side by '-4'. i = 1.75 + -1z + 0.25z2 Simplifying i = 1.75 + -1z + 0.25z2
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