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Simplifying (3i + -7)(i) = 0 Reorder the terms: (-7 + 3i)(i) = 0 Reorder the terms for easier multiplication: i(-7 + 3i) = 0 (-7 * i + 3i * i) = 0 (-7i + 3i2) = 0 Solving -7i + 3i2 = 0 Solving for variable 'i'. Factor out the Greatest Common Factor (GCF), 'i'. i(-7 + 3i) = 0Subproblem 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 + 3i)' equal to zero and attempt to solve: Simplifying -7 + 3i = 0 Solving -7 + 3i = 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 + 3i = 0 + 7 Combine like terms: -7 + 7 = 0 0 + 3i = 0 + 7 3i = 0 + 7 Combine like terms: 0 + 7 = 7 3i = 7 Divide each side by '3'. i = 2.333333333 Simplifying i = 2.333333333Solution
i = {0, 2.333333333}
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