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Simplifying (i)(5i)(-3 + -5i) = 0 Remove parenthesis around (5i) i * 5i(-3 + -5i) = 0 Reorder the terms for easier multiplication: 5i * i(-3 + -5i) = 0 Multiply i * i 5i2(-3 + -5i) = 0 (-3 * 5i2 + -5i * 5i2) = 0 (-15i2 + -25i3) = 0 Solving -15i2 + -25i3 = 0 Solving for variable 'i'. Factor out the Greatest Common Factor (GCF), '-5i2'. -5i2(3 + 5i) = 0 Ignore the factor -5.Subproblem 1
Set the factor 'i2' equal to zero and attempt to solve: Simplifying i2 = 0 Solving i2 = 0 Move all terms containing i to the left, all other terms to the right. Simplifying i2 = 0 Take the square root of each side: i = {0}Subproblem 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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