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Simplifying 3i(-7 + i) = 0 (-7 * 3i + i * 3i) = 0 (-21i + 3i2) = 0 Solving -21i + 3i2 = 0 Solving for variable 'i'. Factor out the Greatest Common Factor (GCF), '3i'. 3i(-7 + 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 '(-7 + i)' equal to zero and attempt to solve: Simplifying -7 + i = 0 Solving -7 + i = 0 Move all terms containing i to the left, all other terms to the right. Add '7' to each side of the equation. -7 + 7 + i = 0 + 7 Combine like terms: -7 + 7 = 0 0 + i = 0 + 7 i = 0 + 7 Combine like terms: 0 + 7 = 7 i = 7 Simplifying i = 7Solution
i = {0, 7}
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