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Simplifying (-8i)(-6i)(-6 + -6i) = 0 Remove parenthesis around (-8i) -8i(-6i)(-6 + -6i) = 0 Remove parenthesis around (-6i) -8i * -6i(-6 + -6i) = 0 Reorder the terms for easier multiplication: -8 * -6i * i(-6 + -6i) = 0 Multiply -8 * -6 48i * i(-6 + -6i) = 0 Multiply i * i 48i2(-6 + -6i) = 0 (-6 * 48i2 + -6i * 48i2) = 0 (-288i2 + -288i3) = 0 Solving -288i2 + -288i3 = 0 Solving for variable 'i'. Factor out the Greatest Common Factor (GCF), '-288i2'. -288i2(1 + i) = 0 Ignore the factor -288.Subproblem 1
Set the factor 'i2' equal to zero and attempt to solve: Simplifying i2 = 0 Solving i2 = 0 Move all terms containing i to the left, all other terms to the right. Simplifying i2 = 0 Take the square root of each side: i = {0}Subproblem 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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