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Simplifying (4 + 8i2) + -1(4 + -8i) = 0 Remove parenthesis around (4 + 8i2) 4 + 8i2 + -1(4 + -8i) = 0 4 + 8i2 + (4 * -1 + -8i * -1) = 0 4 + 8i2 + (-4 + 8i) = 0 Reorder the terms: 4 + -4 + 8i + 8i2 = 0 Combine like terms: 4 + -4 = 0 0 + 8i + 8i2 = 0 8i + 8i2 = 0 Solving 8i + 8i2 = 0 Solving for variable 'i'. Factor out the Greatest Common Factor (GCF), '8i'. 8i(1 + i) = 0 Ignore the factor 8.Subproblem 1
Set the factor 'i' equal to zero and attempt to solve: Simplifying i = 0 Solving i = 0 Move all terms containing i to the left, all other terms to the right. Simplifying i = 0Subproblem 2
Set the factor '(1 + i)' equal to zero and attempt to solve: Simplifying 1 + i = 0 Solving 1 + i = 0 Move all terms containing i to the left, all other terms to the right. Add '-1' to each side of the equation. 1 + -1 + i = 0 + -1 Combine like terms: 1 + -1 = 0 0 + i = 0 + -1 i = 0 + -1 Combine like terms: 0 + -1 = -1 i = -1 Simplifying i = -1Solution
i = {0, -1}
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