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Simplifying (-6i)(-6 + -1i) = 0 Remove parenthesis around (-6i) -6i(-6 + -1i) = 0 (-6 * -6i + -1i * -6i) = 0 (36i + 6i2) = 0 Solving 36i + 6i2 = 0 Solving for variable 'i'. Factor out the Greatest Common Factor (GCF), '6i'. 6i(6 + i) = 0 Ignore the factor 6.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 '(6 + i)' equal to zero and attempt to solve: Simplifying 6 + i = 0 Solving 6 + i = 0 Move all terms containing i to the left, all other terms to the right. Add '-6' to each side of the equation. 6 + -6 + i = 0 + -6 Combine like terms: 6 + -6 = 0 0 + i = 0 + -6 i = 0 + -6 Combine like terms: 0 + -6 = -6 i = -6 Simplifying i = -6Solution
i = {0, -6}
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