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Simplifying 3i(7i + -5) = 0 Reorder the terms: 3i(-5 + 7i) = 0 (-5 * 3i + 7i * 3i) = 0 (-15i + 21i2) = 0 Solving -15i + 21i2 = 0 Solving for variable 'i'. Factor out the Greatest Common Factor (GCF), '3i'. 3i(-5 + 7i) = 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 '(-5 + 7i)' equal to zero and attempt to solve: Simplifying -5 + 7i = 0 Solving -5 + 7i = 0 Move all terms containing i to the left, all other terms to the right. Add '5' to each side of the equation. -5 + 5 + 7i = 0 + 5 Combine like terms: -5 + 5 = 0 0 + 7i = 0 + 5 7i = 0 + 5 Combine like terms: 0 + 5 = 5 7i = 5 Divide each side by '7'. i = 0.7142857143 Simplifying i = 0.7142857143Solution
i = {0, 0.7142857143}
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