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Simplifying (-5i)(-1I)(3 + 4i) = 0 Remove parenthesis around (-5i) -5i(-1I)(3 + 4i) = 0 Remove parenthesis around (-1I) -5i * -1I(3 + 4i) = 0 Reorder the terms for easier multiplication: -5 * -1i * I(3 + 4i) = 0 Multiply -5 * -1 5i * I(3 + 4i) = 0 Multiply i * I 5iI(3 + 4i) = 0 (3 * 5iI + 4i * 5iI) = 0 (15iI + 20i2I) = 0 Solving 15iI + 20i2I = 0 Solving for variable 'i'. Factor out the Greatest Common Factor (GCF), '5iI'. 5iI(3 + 4i) = 0 Ignore the factor 5.Subproblem 1
Set the factor 'iI' equal to zero and attempt to solve: Simplifying iI = 0 Solving iI = 0 Move all terms containing i to the left, all other terms to the right. Simplifying iI = 0 The solution to this equation could not be determined. This subproblem is being ignored because a solution could not be determined.Subproblem 2
Set the factor '(3 + 4i)' equal to zero and attempt to solve: Simplifying 3 + 4i = 0 Solving 3 + 4i = 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 + 4i = 0 + -3 Combine like terms: 3 + -3 = 0 0 + 4i = 0 + -3 4i = 0 + -3 Combine like terms: 0 + -3 = -3 4i = -3 Divide each side by '4'. i = -0.75 Simplifying i = -0.75Solution
i = {-0.75}
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