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Simplifying -5i(3 + -5i) = 0 (3 * -5i + -5i * -5i) = 0 (-15i + 25i2) = 0 Solving -15i + 25i2 = 0 Solving for variable 'i'. Factor out the Greatest Common Factor (GCF), '5i'. 5i(-3 + 5i) = 0 Ignore the factor 5.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 + 5i)' equal to zero and attempt to solve: Simplifying -3 + 5i = 0 Solving -3 + 5i = 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 + 5i = 0 + 3 Combine like terms: -3 + 3 = 0 0 + 5i = 0 + 3 5i = 0 + 3 Combine like terms: 0 + 3 = 3 5i = 3 Divide each side by '5'. i = 0.6 Simplifying i = 0.6Solution
i = {0, 0.6}
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