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Simplifying 3i2 + -9i = 0 Reorder the terms: -9i + 3i2 = 0 Solving -9i + 3i2 = 0 Solving for variable 'i'. Factor out the Greatest Common Factor (GCF), '3i'. 3i(-3 + i) = 0 Ignore the factor 3.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 '(-3 + i)' equal to zero and attempt to solve: Simplifying -3 + i = 0 Solving -3 + i = 0 Move all terms containing i to the left, all other terms to the right. Add '3' to each side of the equation. -3 + 3 + i = 0 + 3 Combine like terms: -3 + 3 = 0 0 + i = 0 + 3 i = 0 + 3 Combine like terms: 0 + 3 = 3 i = 3 Simplifying i = 3Solution
i = {0, 3}
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